In this paper, input-to-state stability (ISS) is investigated for a class of nonlinear switched systems with time-varying switching delay, in which both ISS and non-ISS subsystems are considered simultaneously. By means of the Lyapunov function method, we show that ISS can be ensured for switched systems with time-varying switching delay if the activation time of ISS subsystems is sufficiently large and switching delays satisfy certain conditions. Moreover, inspired by (Zhang et al. 2020), a time-dependent multiple Lyapunov function is considered for linear switched systems with switching delay to obtain less conservative results, where the conservativeness can be reduced by explicitly providing the lower and upper bounds of switching intervals. Finally, simulations including an example of coordination of multiagent systems are offered to verify the effectiveness of the proposed results.

中文翻译：

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开关延迟对开关系统输入状态稳定性的影响

本文研究了一类具有时变开关延迟的非线性开关系统的输入状态稳定性（ISS），其中同时考虑了 ISS 和非 ISS 子系统。通过Lyapunov函数方法，我们证明了对于具有时变切换延迟的切换系统，如果ISS子系统的激活时间足够大且切换延迟满足一定条件，则可以保证ISS。此外，受（Zhang et al. 2020）的启发，对于具有切换延迟的线性切换系统，考虑时间相关的多重李亚普诺夫函数以获得不太保守的结果，其中可以通过明确提供切换的下限和上限来降低保守性间隔。最后，