This paper deals with the practical exponential stability of two-dimensional (2-D) nonlinear switched positive systems with impulse, disturbance and all modes unstable. Under the mode-dependent interval dwell time switching, new criteria such that 2-D nonlinear switched positive systems achieve practical exponential stability are derived. Furthermore, the explicit upper bound and convergence rate of the system state are estimated explicitly. Numerical examples indicate the correctness and effectiveness of the obtained results.

中文翻译：

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Roesser 模型中二维非线性切换正系统的实用指数稳定性

本文研究了具有脉冲、扰动和所有模式不稳定的二维 (2-D) 非线性切换正系统的实际指数稳定性。在依赖于模式的间隔停留时间切换下，推导出二维非线性切换正系统实现实际指数稳定性的新标准。此外，显式估计系统状态的显式上限和收敛速度。数值例子表明了所得结果的正确性和有效性。