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Port-Hamiltonian modeling and jumping trajectory tracking control for a bio-inspired quadruped robot Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-04-15 Chi Zhang, Wei Zou, Liping Ma, Ningbo Cheng
Applying jumping locomotion into autonomous mobile robot is an effective way for improving abilities to overcome barriers and pass through complex terrains. In this paper, based on the designed structural framework for bio-inspired quadruped jumping robot, dynamic model is established by utilizing port-Hamiltonian with dissipation (pHd) method, and a passivity-based control strategy for the robot joints
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Asymptotic behavior of inter-event times in planar systems under event-triggered control Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-04-11 Anusree Rajan, Pavankumar Tallapragada
This paper analyzes the asymptotic behavior of inter-event times in planar linear systems, under event-triggered control with a general class of scale-invariant event triggering rules. In this setting, the inter-event time is a function of the “angle” of the state at an event. This viewpoint allows us to analyze the inter-event times by studying the fixed points of the , which represents the evolution
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Hybrid stochastic SIS epidemic models with vaccination: Stability of the disease-free state and applications Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-04-11 Nguyen T. Hieu, Dang H. Nguyen, Nhu N. Nguyen, Tran D. Tuong
In this paper, we consider a stochastic SIS epidemic model with vaccination in random switching environment. The system is formulated as a hybrid stochastic differential equation. We provide a threshold number that characterizes completely its longtime behavior. It turns out that if the threshold is negative, the number of the infected class converges to zero or the extinction happens. The rate of
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Closing Lemma for piecewise smooth vector fields with a recurrent point Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-04-09 A.A. Antunes, T. Carvalho, O.M.L. Gomide
In this paper we provide a positive answer for the C-Closing Lemma in the context of -dimensional piecewise smooth vector fields governed by the Filippov’s rules. So, given a model presenting a nontrivially recurrent point it is possible to consider a C-close perturbation of it possessing a closed trajectory. Also, we conclude the paper proving the existence of a closed orbit around a T-singularity
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Fully automated verification of linear time-invariant systems against signal temporal logic specifications via reachability analysis Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-04-09 Niklas Kochdumper, Stanley Bak
While reachability analysis is one of the most promising approaches for formal verification of dynamic systems, a major disadvantage preventing a more widespread application is the requirement to manually tune algorithm parameters such as the time step size. Manual tuning is especially problematic if one aims to verify that the system satisfies complicated specifications described by signal temporal
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Time- versus event-triggered consensus of a single-integrator multi-agent system Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-04-08 David Meister, Frank Aurzada, Mikhail A. Lifshits, Frank Allgöwer
Event-triggered control has shown the potential for providing improved control performance at the same average sampling rate when compared to time-triggered control. While this observation motivates numerous event-triggered control schemes, proving it from a theoretical perspective has only been achieved for a limited number of settings. Inspired by existing performance analyses for the single-loop
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Input/output corrective control of switched asynchronous sequential machines under arbitrary switching Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-04-04 Jung-Min Yang, Seong Woo Kwak
This article presents a novel modeling and corrective control of switched asynchronous sequential machines (ASMs) with input/output submachines. In particular, the considered switched ASM is harnessed by the external switching signal that provokes arbitrary change of the mode or submachine. The existence of the external switching signal imposes unpredictable state drift opposite to model matching as
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A necessary and sufficient condition for the existence of the stabilizing solution of a large class of discrete-time Riccati type equations with periodic coefficients Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-03-28 Vasile Drăgan, Ioan-Lucian Popa, Samir Aberkane, Vladimir Răsvan
This paper is devoted to the study of a large class of discrete-time backward Riccati equations arising in several linear quadratic (LQ) type control problems both in the deterministic and in the stochastic frameworks. The periodic time-varying case is considered. We propose existence and uniqueness conditions for a global special solution named for such equations. Beside the stabilizability condition
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Weak convergence and stability of functional diffusion systems with singularly perturbed regime switching Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-03-15 Wenjie Cao, Fuke Wu, Minyu Wu
This paper focuses on a class of functional diffusion systems with singularly perturbed regime switching, where the modulating Markov chain has a large state space and undergoes weak and strong interactions. By using the martingale method and weak convergence, this paper shows that the underlying system will weakly converge to a limit system, which is simpler than the original system. For a class of
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Quantization-based distributed design strategy for adaptive consensus tracking of asynchronously switched nonlinear multiagent systems Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-03-14 Seok Gyu Jang, Sung Jin Yoo
We propose a quantization-based distributed consensus tracking design to resolve the unknown control direction problem of uncertain switched nonlinear multiagent systems under a fully quantized environment. All feedback and communication signals for the local control design are quantized and the control coefficient functions and directions of agents are unknown. Differing from the previous literature
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Robust dynamic self-triggered control for nonlinear systems using hybrid Lyapunov functions Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-03-11 Michael Hertneck, Frank Allgöwer
Self-triggered control (STC) is a resource efficient approach to determine sampling instants for Networked Control Systems. At each sampling instant, an STC mechanism determines not only the control inputs but also the next sampling instant. In this article, an STC approach for perturbed nonlinear systems is proposed. The approach uses a dynamic variable in addition to current state information to
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Corrigendum to “Stability analysis and stabilization of linear symmetric matrix-valued continuous, discrete, and impulsive dynamical systems – A unified approach for the stability analysis and the stabilization of linear systems” [Nonlinear Anal. Hybrid Syst. 46 (2022) 101242] Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-03-06 Corentin Briat, Vasile Dragan
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Relaxed criteria on admissibility analysis for singular Markovian jump systems with time delay Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-03-04 Xingyue Liang, Shengyuan Xu
This article studies the problem of admissibility analysis for singular Markovian jump systems with time delay. Without introducing more variables, an augmented Lyapunov–Krasovskii functional (LKF) is presented, which does not require all matrices to satisfy the positive definite constraint. Inspired by free-matrix-based inequality, an improved version is proposed to obtain more accurate estimation
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Adaptive stabilization for a class of nonlinearly parameterized systems with multiple unknown control directions via switching linear controllers Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-02-20 Ruicheng Ma, Yating Hu, Yuanchao Qu
In this paper, the adaptive control via switching linear controllers is studied for a class of nonlinearly parameterized systems with unknown control directions. For the studied system, the parametric uncertainties entering the state equations nonlinearly can be fast time-varying or jumping at unknown time instants and the bounds of the parametric uncertainties are not required to know a priori and
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Mixed self/event-triggered ternary control for resilient consensus against mobile adversarial agents Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-02-20 Hiroki Matsume, Yuan Wang, Hideaki Ishii, Xavier Défago
In this paper, we consider the problem of multi-agent consensus in the presence of mobile adversaries. Faulty agents try to prevent the coordination among the regular agents and moreover are mobile in the sense that they can change their identities over time. Our approach towards resilient consensus is to extend the so-called mean subsequence reduced (MSR) algorithms to reduce the necessary communication
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Command filter-based adaptive fault-tolerant tracking control for switched nonlinear systems with time-varying output constraints Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-02-19 Jie Zhang, Yingnan Pan, Liang Cao
In this paper, the fault-tolerant tracking control problem is addressed for switched nonlinear systems subject to time-varying output constraints and dead-zone input under arbitrary switching signal. An improved output-dependent barrier function with weight factors is presented to handle the output constraint issue, which eliminates the conservative design that converts the output constraints into
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Improved looped-functional approach for dwell-time-dependent stability analysis of impulsive systems Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-02-17 Hong-Bing Zeng, Wei-Min Wang, Wei Wang, Hui-Qin Xiao
This paper studies the dwell-time-dependent stability analysis of impulsive systems by using a new time-square-dependent looped-functional. Based on the Lyapunov theory and two-sided looped-functional method, a time-square-dependent looped-functional is proposed, which fully utilizes the information of both the intervals and . Then, by applying Jensen’s inequality and free-matrix-based inequalities
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On global exponential stability of discrete-time switching systems with dwell-time ranges: Novel induced LMIs for linear systems with delays Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-02-15 P, i, e, r, d, o, m, e, n, i, c, o, , P, e, p, e
In this paper, we provide necessary and sufficient Lyapunov conditions for discrete-time switching systems to be globally exponentially stable, when the switching signal obeys to a switches digraph and is subject to dwell-time constraints. In order to best exploit the information on switching-dwelling constraints, conditions are given by means of multiple Lyapunov functions. The number of involved
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Unified stability criteria for impulsive stochastic delayed systems Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-02-14 Junyan Xu, Yang Liu, Qingxin Meng, Jinde Cao, Mahmoud Abdel-Aty
This paper investigates the th moment exponential stability of impulsive stochastic delayed systems (ISDS). New stability criteria for ISDS are developed by applying the Razumikhin approach and a novel concept of average random impulsive estimation (ARIE). Stochastic impulsive strength, the time-varying delay in continuous dynamics, and the impulsive delay are considered simultaneously, and there are
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Saddle–node canard cycles in slow–fast planar piecewise linear differential systems Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-02-08 V. Carmona, S. Fernández-García, A.E. Teruel
By applying a singular perturbation approach, canard explosions exhibited by a general family of singularly perturbed planar Piecewise Linear (PWL) differential systems are analyzed. The performed study involves both hyperbolic and non-hyperbolic canard limit cycles appearing after both, a supercritical and a subcritical Hopf bifurcation. The obtained results are comparable with those obtained for
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Finite-time stability via [formula omitted]-functions for impulsive dynamical systems Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-02-06 Bin Liu, Zhou-Teng Xie, Ping Li, Zhijie Sun
This paper studies the finite-time stability via -functions (-FTS) for impulsive dynamical systems (IDS). The notions of -functions, -FTS, and event--FTS are proposed for IDS. The -FTS is a type of well-defined finite-time stability which is expressed via -functions. The -FTS is decomposed into specific types through the decomposition of -functions. By establishing the comparison principles of FTS
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Chance-constrained optimization for contact-rich systems using mixed integer programming Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-02-06 Yuki Shirai, Devesh K. Jha, Arvind U. Raghunathan, Diego Romeres
Stochastic and robust optimization of uncertain contact-rich systems is relatively unexplored. This paper presents a chance-constrained formulation for robust trajectory optimization during manipulation. In particular, we present chance-constrained optimization of Stochastic Discrete-time Linear Complementarity Systems (SDLCS). The optimization problem is formulated as a Mixed-Integer Quadratic Program
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A nonsmooth RATTLE algorithm for mechanical systems with frictional unilateral constraints Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-02-06 Jonas Breuling, Giuseppe Capobianco, Simon R. Eugster, Remco I. Leine
In 1983, Andersen proposed the RATTLE algorithm as an extension of the SHAKE algorithm. The RATTLE algorithm is a well-established method for simulating mechanical systems with perfect bilateral constraints. This paper further extends RATTLE for simulating nonsmooth mechanical systems with frictional unilateral constraints (i.e. frictional contact). With that, it satisfies the need for higher-order
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Leveraging randomized smoothing for optimal control of nonsmooth dynamical systems Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-02-01 Quentin Le Lidec, Fabian Schramm, Louis Montaut, Cordelia Schmid, Ivan Laptev, Justin Carpentier
Optimal control (OC) algorithms such as differential dynamic programming (DDP) take advantage of the derivatives of the dynamics to control physical systems efficiently. Yet, these algorithms are prone to failure when dealing with non-smooth dynamical systems. This can be attributed to factors such as the existence of discontinuities in the dynamics derivatives or the presence of non-informative gradients
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Data-driven abstraction-based control synthesis Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-01-29 Milad Kazemi, Rupak Majumdar, Mahmoud Salamati, Sadegh Soudjani, Ben Wooding
This paper studies formal synthesis of controllers for continuous-space systems with unknown dynamics to satisfy requirements expressed as linear temporal logic formulas. Formal abstraction-based synthesis schemes rely on a precise mathematical model of the system to build a finite abstract model, which is then used to design a controller. The abstraction-based schemes are not applicable when the dynamics
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Model matching problems for impulsive linear systems with polytopic uncertainties Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-01-13 Elena Zattoni, Naohisa Otsuka, Anna Maria Perdon, Giuseppe Conte
This work deals with the problem of designing a feedback compensator that forces the output of a linear system with abrupt discontinuities in the state evolution and polytopic uncertainties to match that of a given model with the same features. First, the case in which the system and the model are initialized at zero and output matching is required to be exact is considered. Then, the case in which
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FIR system identification under congruential summation-triggered communication scheme with binary observations Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2024-01-09 Xu Cui, Qingxiang Zhang, Peng Yu, Fengwei Jing, Jin Guo
With the development of information technology, the amount of data transmitted in the network is getting larger and larger, and how to effectively utilize the communication resources has become the focus of a lot of research. In the framework of Finite Impulse Response (FIR) systems, this paper proposes a congruential summation-triggered communication scheme based on the cumulative effect of binary-valued
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FESD-J: Finite Elements with Switch Detection for numerical optimal control of rigid bodies with impacts and Coulomb friction Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-12-28 Armin Nurkanović, Jonathan Frey, Anton Pozharskiy, Moritz Diehl
The Finite Elements with Switch Detection (FESD) is a high-accuracy method for the numerical simulation and solution of optimal control problems subject to discontinuous ODEs. In this article, we extend the FESD method (Nurkanović et al., 2022) to the dynamic equations of multiple rigid bodies that exhibit state jumps due to impacts and Coulomb friction. This new method is referred to as FESD with
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On the robustification of digital event-based stabilizers for nonlinear time-delay systems Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-12-28 M. Di Ferdinando, S. Di Gennaro, A. Borri, G. Pola, P. Pepe
In this paper, the robust stabilization problem by means of quantized sampled-data event-based (QSE) controllers is investigated for nonlinear systems affected by state delays and unknown disturbances. In particular, a methodology for the design of robust QSE stabilizers is provided for control-affine nonlinear systems affected by unknown actuation disturbances and unknown measurement errors. Firstly
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[formula omitted] control of singularly perturbed systems using deficient hidden semi-Markov model Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-12-26 Yunzhe Men, Jian Sun
This paper deals with the control of a class of stochastic multi-timescale systems, called Markov jump singularly perturbed systems. The hidden semi-Markov model is introduced to handle the situation when system modes are unavailable in semi-Markov systems. Such a model is assumed deficient, that is, it lacks knowledge about the emission probability, transition probability, and probability density
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Editorial Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-12-21 Kai Cai, Maria Prandini, Xiang Yin, Majid Zamani
Abstract not available
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Koopman modeling and optimal control for microbial fed-batch fermentation with switching operators Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-12-20 Jinlong Yuan, Shuang Zhao, Dongyao Yang, Chongyang Liu, Changzhi Wu, Tao Zhou, Sida Lin, Yuduo Zhang, Wanli Cheng
The modeling of microbial fed-batch fermentation with switching operators to product 1,3-propanediol (1,3-PD) still maintains a challenge because it is strongly of nonlinearity and uncertainty. Machine learning methods for learning such models have become a hot research topic, but the interpretability of existing techniques remains a challenging problem. Recently, the Koopman operator, which is a linear
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Robust output convergence of heterogeneous networks via nonsmooth hard-threshold couplings Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-12-18 F, é, l, i, x, , A, ., , M, i, r, a, n, d, a, -, V, i, l, l, a, t, o, r, o
We study a set-valued maximal monotone coupling law achieving robust output convergence in heterogeneous networks of dynamical systems with uncertainties and persistent disturbances. The coupling consists of an adaptable strategy built from normal cones to convex time-dependent sets (hard-threshold maps). To guarantee the convergence of the output mismatches to a neighborhood of the origin, only connectivity
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Duality of controllability and observability in proportional equal conflict timed continuous Petri Nets Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-12-15 J.L. García-Malacara, César Arzola, Antonio Ramírez-Treviño, C. Renato Vázquez
Controllability and observability properties have been widely studied in Timed Continuous Petri Nets (s), a class of , in order to analyze and control crowded discrete event systems. This work studies the concept of duality applied to s as a vehicle to establish links between controllability and observability, i.e., a synergy to improve the understanding of these properties and to enlarge the class
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Semi-global asymptotic state agreement of nonlinear multi-agent systems with communication delays under directed switching topologies Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-12-13 Zhanxiu Wang, Zhenghong Jin, Hua Li
This paper investigates the semi-global state agreement problem for continuous-time nonlinear multi-agent systems with communication delays under direct and switching topologies. A systematic solution to the semi-global state agreement is presented and based on which a sufficient and necessary condition on the control laws is obtained, as long as the direct and switching communication topologies satisfy
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Secured consensus control for multi-agent systems under DoS attacks: Coding–decoding communication protocol Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-12-08 Tingting Ru, Hong Lin, Chenxiao Cai
This paper focuses on the leader following consensus control problem for multi-agent systems (MASs) subject to denial-of-service (DoS) attacks. First, a sliding mode observer is developed to estimate each agent state, actuator, and sensor fault. Then, a coding–decoding communication protocol is proposed to enhance the communication security between agents. Based on the sliding mode observer and communication
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Chaotic behaviors and coexisting homoclinic cycles in a class of 3D piecewise systems Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-12-07 Wenjing Xu, Kai Lu, Tao Zhang, Qiaomin Xiang
Investigating homoclinic trajectories and chaotic behaviors, is conducive to better understanding the fourteenth problem listed by Smale in his response to Arnold. This paper analytically detects coexisting homoclinic cycles without symmetry required in a class of three-dimensional (3D) piecewise systems, which is significantly different from the smooth case where a pair of homoclinic cycles with respect
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The convergence rate of the equilibrium measure for the hybrid LQG Mean Field Game Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-12-05 Jiamin Jian, Peiyao Lai, Qingshuo Song, Jiaxuan Ye
In this work, we study the convergence rate of the -player Linear-Quadratic-Gaussian (LQG) game with a Markov chain common noise towards its asymptotic Mean Field Game. By postulating a Markovian structure via two auxiliary processes for the first and second moments of the Mean Field Game equilibrium and applying the fixed point condition in Mean Field Game, we first provide the characterization of
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Membership-function-dependent [formula omitted] bumpless transfer control for switched interval type-2 fuzzy systems with time-delay Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-12-05 Siyuan Zhang, Jun Zhao
This paper addresses the bumpless transfer control for switched nonlinear delayed systems with exogenous perturbations via the interval type-2 fuzzy model. We firstly establish a novel characterization of bumpless transfer performance, which provides a framework to the bumpless transfer control of switched nonlinear systems. By using the multiple Lyapunov-Krasovskii functionals and the state-dependent
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Finite-time stabilization of discrete-time conewise linear systems Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-12-05 Roberto Ambrosino, Raffaele Iervolino
The finite-time stabilizing control design problem for discrete-time conewise linear systems is tackled in this paper. Such a class of systems consists of the union of ordinary linear time-invariant subsystems, whose dynamics are defined in prescribed conical regions, constituting a conical partition of the state space. By imposing some cone-copositivity properties to a suitable piecewise quadratic
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Flatness and structural analysis for the design of stream ciphers involving hybrid automata Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-12-03 Hamid Boukerrou, Gilles Millérioux, Marine Minier, Taha Boukhobza
This paper deals with hybrid dynamical systems in the context of cybersecurity and Cyber–Physical Systems. It is shown how the design of a cipher, called self-synchronizing stream cipher, can be recast as control-theoretic issues, in particular left inversion, flatness and structural analysis. From an automatic control point of view, the main contribution lies in a methodology to construct generic
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Aperiodic dynamic event-triggered control for linear systems: A looped-functional approach Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-11-27 Yihao Xu, Alexandre Seuret, Kun Liu, Senchun Chai
The recent literature on event-triggered control has demonstrated the potential of dynamic periodic event-triggered control. Compared to continuous-time event-triggering rules, the benefit of considering periodic event-triggered control is to avoid the Zeno phenomenon, which refers to the situation when there are an infinite number of updates in a bounded interval of time. The idea of periodic event-triggered
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Non-smooth competitive systems and complex dynamics induced by linearly dependent feedback control Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-11-08 Yuan Tian, Chunxue Li, Jing Liu
Competition is a common biological relationship in nature, especially for some fish species. For different situations and different purposes in a two populations competitive system, we propose three novel mathematical models of two-fish competition with linear correlation feedback control. The first scenario considers undesirable competition in the system, and the purpose of control is to avoid the
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Synthesis of event-triggered controllers for SIRS epidemic models Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-11-03 Lichen Ding, Kazumune Hashimoto, Shigemasa Takai
In this paper, we investigate the problem of mitigating epidemics by applying an event-triggered control strategy. We consider a susceptible–infected–removed–susceptible (SIRS) model, which builds upon the foundational SIR model by accounting for reinfection cases. The event-triggered control strategy is formulated based on the condition in which the control input (e.g., the level of public measures)
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H∞ filtering for discrete-time cyclic switched systems: Relaxed cycle-dependent persistent dwell-time constraints with averaging treatment Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-10-31 Qian Shen, Shengyuan Xu, Yihan Chen
This note investigates the H∞ filtering for a kind of discrete-time switched systems ruled by cyclic switching regularities. By virtue of the cyclic manipulation of dwell-time (DT) switching and average dwell-time (ADT) switching reported in the literature, an innovative switching strategy of cycle-dependent persistent dwell-time (CPDT) property is first developed referring to the original persistent
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Distributed adaptive event-triggered fault detection filter of positive semi-Markovian jump systems Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-10-27 Junfeng Zhang, Tarek Raïssi, Qiang Li, Di Wu
This paper presents a distributed fault detection filter (FDF) for positive semi-Markovian jump systems (PSMJSs) based on an adaptive event-triggered mechanism (AETM) scheme. A novel AETM is first proposed for the systems. A weighted fault model is introduced to assist the estimation of the original fault. Utilizing stochastic copositive Lyapunov function (CLF), a distributed FDF whose parameters are
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Saturated control for uncertain nonlinear impulsive systems with non-uniformly distributed packet loss Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-10-22 Haitao Zhu, Jianquan Lu, Jungang Lou, Yang Liu
This article aims to provide a unified theoretical framework for studying the dynamic behavior of uncertain impulsive systems involving saturation structure and packet loss phenomenon. The concept named average packet loss interval (APLI) is developed to characterize the distribution of packet loss intervals. In this scenario, the traditional restrictions on the number, the proportion, or the upper
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A mixed singular/switching control problem with terminal cost for modulated diffusion processes Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-10-20 Mark Kelbert, Harold A. Moreno-Franco
In this paper, we study the regularity of the value function associated with a stochastic control problem involving two controls that act simultaneously on a modulated multidimensional diffusion process. The first is a switching control modelling a random clock. Whenever the random clock rings, the generator matrix is replaced by another, leading to a different dynamic for the finite state Markov chain
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Robust model-based predictive iterative learning control for systems with non-repetitive disturbances Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-10-11 Chao He, Junmin Li, Sanyang Liu, Jiaxian Wang
Iterative Learning Control (ILC) is commonly used for batch processes. However, it may face difficulties when dealing with non-repetitive disturbances and inconsistent initial states. In situations with non-repetitive disturbances, the output may disobey constraints and negatively impact tracking performance when using existing predictive ILC algorithms. This paper introduces a new model-predictive
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Controllability and observability of Boolean control networks subject to stuck-at fault Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-10-09 Zhaoqi Liu, Haitao Li
Fault-tolerant control is a fundamental and challenging branch in the control community, and has wide applications in aerospace, automotive technology and nuclear engineering. Particularly, the study of faulty Boolean control networks (BCNs) is meaningful to the gene engineering. This paper focuses on the stuck-at fault occurring in BCNs, and investigates the controllability and observability of faulty
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Fixed/preassigned-time output synchronization for T–S fuzzy complex networks via quantized control Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-10-01 Yuhua Gao, Juan Yu, Cheng Hu, Shiping Wen, Fanchao Kong
This article is devoted to the analysis of fixed-time (FXT) and preassigned-time (PAT) output synchronization for T–S fuzzy complex networks (CNs). Firstly, to improve transmission efficiency of information, a kind of pure power-law control strategy with logarithmic quantization is designed and the power-law terms have only one free parameter. Then, by applying FXT stability theorem as well as inequality
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Long-time behavior for impulsive generalized semiflows Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-10-05 Everaldo de Mello Bonotto, Piotr Kalita
We propose new criteria, which are more general than those previously known in the literature, to guarantee the existence of global attractors for problems with state-dependent impulses. Our result on the existence of global attractors is proved for the case where the solutions on the underlying semiflow can possibly be nonunique, and it is even new for the case of solution uniqueness. Additionally
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Passivity-based finite-region control of 2-D hidden Markov jump Roesser systems with partial statistical information Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-09-26 Feng Li, Zhenghao Ni, Lei Su, Jianwei Xia, Hao Shen
The problem of the finite-region passive control for 2-D Markov jump Roesser systems, in which the partial statistical information issues on Markov parameters and transition probabilities are considered simultaneously. To model this situation, a 2-D hidden Markov model with partial statistical information is established. The purpose of this paper is to design a controller based on the 2-D hidden Markov
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Symbolic control for stochastic systems via finite parity games Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-09-27 Rupak Majumdar, Kaushik Mallik, Anne-Kathrin Schmuck, Sadegh Soudjani
We consider the problem of computing the maximal probability of satisfying an ω-regular specification for stochastic, continuous-state, nonlinear systems evolving in discrete time. The problem reduces, after automata-theoretic constructions, to finding the maximal probability of satisfying a parity condition on a (possibly hybrid) state space. While characterizing the exact satisfaction probability
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Compositional synthesis of control barrier certificates for networks of stochastic systems against ω-regular specifications Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-09-23 Mahathi Anand, Abolfazl Lavaei, Majid Zamani
This paper is concerned with a compositional scheme for the construction of control barrier certificates for interconnected discrete-time stochastic systems. The main objective is to synthesize switching controllers against ω-regular properties that can be described by accepting languages of deterministic Streett automata (DSA) along with providing probabilistic guarantees for the satisfaction of such
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Practical exponential stability of impulsive stochastic functional differential systems with distributed-delay dependent impulses Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-09-19 Weijun Ma, Bo Yang, Yuanshi Zheng
This paper develops new practical stability criteria for impulsive stochastic functional differential systems with distributed-delay dependent impulses by using the Lyapunov–Razumikhin approach and some inequality techniques. In the given systems, the state variables on the impulses are concerned with a history time period, which is very appropriate for modelling some practical problems. Moreover,
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Asymptotic synchronization and topology identification of stochastic hybrid delayed coupled systems with multiple weights Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-09-19 Chunmei Zhang, Huiling Chen, Qin Xu, Yuli Feng, Ran Li
This article discusses a class of stochastic hybrid delayed coupled systems with multiple weights (SHDCSMW). Both white noise and telegraph noise are included in the coupled systems. By employing Kirchhoff’s Matrix-Tree Theorem, a global Lyapunov function is rebuilt indirectly, which is closely related to Markovian switching. Moreover, based on Lyapunov stability theory and stochastic analysis, several
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Learning stability guarantees for constrained switching linear systems from noisy observations Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-09-18 Adrien Banse, Zheming Wang, Raphaël M. Jungers
We present a data-driven framework based on Lyapunov theory to provide stability guarantees for a family of hybrid systems. In particular, we are interested in the asymptotic stability of switching linear systems whose switching sequence is constrained by labeled graphs, namely constrained switching linear systems. In order to do so, we provide chance-constrained bounds on stability guarantees, that
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Minimum realization for controllability/observability of switched linear systems Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-09-15 Yan Zhu, Zhendong Sun
In this work, we address the minimum realization problem for controllability of both continuous-time switched linear systems and reversible discrete-time switched linear systems. For both classes of n-dimensional switched linear systems, we show that n(n+1)2−1 switches are the tight upper bound for controllability switching realization. The minimum realization problem for observability is also addressed
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Lyapunov-based stability of time-triggered impulsive logical dynamic networks Nonlinear Anal. Hybrid Syst. (IF 4.2) Pub Date : 2023-09-15 Xueying Ding, Jianquan Lu, Xiangyong Chen
In this paper, we consider the stability of impulsive logical dynamic systems (ILDNs) from two aspects: impulsive disturbance and impulsive control. The existing results on the stability of ILDNs only consider the stability of ILDNs under a given impulsive instant sequence (IIS), which has some limitations and motivates us to consider the stability of ILDNs under any IIS. By constructing a merged ILDN