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DDI-based finite-time stability analysis for nonlinear switched systems with time-varying delays

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  • Wenping Xue
  • Kangji Li
  • Guohai Liu

Abstract

This paper investigates the finite-time stability (FTS) analysis problem for switched systems with both nonlinear perturbation and time-varying delays. For the system to be finite-time stable, a sufficient condition is proposed based on some delay differential inequalities (DDIs), rather than the Lyapunov-like functions which are commonly used in the FTS analysis of switched systems. Compared with the Lyapunov-like function method, the FTS conditions based on the DDI method are easier for checking and do not require FTS of each subsystem. Two examples are given to illustrate the effectiveness of the developed theory.

Suggested Citation

  • Wenping Xue & Kangji Li & Guohai Liu, 2016. "DDI-based finite-time stability analysis for nonlinear switched systems with time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 3027-3035, September.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:12:p:3027-3035
    DOI: 10.1080/00207721.2015.1066899
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    References listed on IDEAS

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    1. Weiming Xiang & Jian Xiao, 2013. "Finite-time stability and stabilisation for switched linear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(2), pages 384-400.
    2. Jia Xu & Jitao Sun, 2013. "Finite-time stability of nonlinear switched impulsive systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(5), pages 889-895.
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    Cited by:

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    3. Harshavarthini, S. & Sakthivel, R. & Ma, Yong-Ki & Muslim, M., 2020. "Finite-time resilient fault-tolerant investment policy scheme for chaotic nonlinear finance system," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    4. Tharanidharan, V. & Sakthivel, R. & Ren, Yong & Marshal Anthoni, S., 2022. "Robust finite-time PID control for discrete-time large-scale interconnected uncertain system with discrete-delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 370-383.
    5. Tao, Xiangyu & Zhu, Linhe, 2021. "Study of periodic diffusion and time delay induced spatiotemporal patterns in a predator-prey system," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    6. Zhu, Linhe & Liu, Wenshan & Zhang, Zhengdi, 2020. "Delay differential equations modeling of rumor propagation in both homogeneous and heterogeneous networks with a forced silence function," Applied Mathematics and Computation, Elsevier, vol. 370(C).

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