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<p>This paper investigates the input-to-state stability (ISS) problem for a class of nonlinear switched systems subject to different external disturbances and hybrid delayed impulses. The impulsive delays are influenced by both the present states and past states. Based on the Lyapunov–Razumikhin method, this paper establishes several sufficient conditions to ensure the ISS of the considered system. Theoretical analysis shows that, under mild conditions, the impulsive time delays may be without the upper bound while remaining finite. In addition, for a class of hybrid delayed impulsive switched systems, an application relying on linear matrix inequalities is introduced. Finally, the validity of the obtained theoretical results is verified by numerical simulation experiments.</p>

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Input-to-State Stability of Nonlinear Switched Systems with Hybrid Inputs and Delayed Impulses

  • 期刊论文

  • 发表日期：

    2026年2月4日

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  • Yilin Tu,
  • Jin-E Zhang

摘要

This paper investigates the input-to-state stability (ISS) problem for a class of nonlinear switched systems subject to different external disturbances and hybrid delayed impulses. The impulsive delays are influenced by both the present states and past states. Based on the Lyapunov–Razumikhin method, this paper establishes several sufficient conditions to ensure the ISS of the considered system. Theoretical analysis shows that, under mild conditions, the impulsive time delays may be without the upper bound while remaining finite. In addition, for a class of hybrid delayed impulsive switched systems, an application relying on linear matrix inequalities is introduced. Finally, the validity of the obtained theoretical results is verified by numerical simulation experiments.