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Stability of delayed switched systems involving impulses: State-dependent switching control approach

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  • Wang, Yufei
  • Xing, Ying
  • Li, Xiaodi

Abstract

This paper mainly considers the exponential stability problem for delayed switched systems involving impulses via state-dependent switching (SDS) approach, where both stabilizing and destabilizing impulses are considered. Different from traditional SDS method in the framework of continuous state space, we propose an SDS law depending on time delays under impulse environment. Based on the designed SDS strategy, some sufficient conditions are provided to guarantee the global exponential stability (GES) of the system. It shows that in the coexistence environment of impulses and time delays, the stability of the system can still be achieved via the SDS law even if all the modes are unstable. Finally, we present two simulation examples to illustrate the feasibility and validity of our main results.

Suggested Citation

  • Wang, Yufei & Xing, Ying & Li, Xiaodi, 2025. "Stability of delayed switched systems involving impulses: State-dependent switching control approach," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    • Handle: RePEc:eee:chsofr:v:194:y:2025:i:c:s0960077925002498
    DOI: 10.1016/j.chaos.2025.116236
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    References listed on IDEAS

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    1. Luo, Lingao & Li, Lulu & Huang, Wei, 2024. "Asymptotic stability of fractional-order Hopfield neural networks with event-triggered delayed impulses and switching effects," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 491-504.
    2. Mishra, Ankit & Wen, Tao & Cheong, Kang Hao, 2024. "Efficient traffic management in networks with limited resources: The switching routing strategy," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    3. Wu, Qianqian & Yang, Dan & Li, Xiaodi, 2023. "Output tracking control for state-dependent switched systems with input delay," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    4. Yuan, Xiaolan & Zhou, Yusheng, 2023. "The fastest stabilization of second-order switched systems with all modes unstable via an optimal state-dependent switching rule revisited," Applied Mathematics and Computation, Elsevier, vol. 457(C).
    5. Zhang, Meng & Zhu, Quanxin, 2022. "Finite-time input-to-state stability of switched stochastic time-varying nonlinear systems with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
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