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Stability of Switched Systems with Time-Varying Delays under State-Dependent Switching

Author

Listed:
  • Chao Liu

    (School of Computer Science and Engineering, Chongqing University of Technology, Chongqing 400054, China
    These authors contributed equally to this work.)

  • Xiaoyang Liu

    (School of Computer Science and Engineering, Chongqing University of Technology, Chongqing 400054, China
    These authors contributed equally to this work.)

Abstract

This paper studies the stability of linear switched systems with time-varying delays and all unstable subsystems. According to the largest region function strategy, the state-dependent switching rule is designed. By bringing in integral inequality and multiple Lyapunov-Krasovskii functionals, the stability results of delayed switched systems with or without sliding motions under the designed state-dependent switching rule are derived for different assumptions on time delay. Several numerical examples are employed to show the effectiveness and superiority of the proposed results.

Suggested Citation

  • Chao Liu & Xiaoyang Liu, 2022. "Stability of Switched Systems with Time-Varying Delays under State-Dependent Switching," Mathematics, MDPI, vol. 10(15), pages 1-13, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:15:p:2722-:d:877883
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    References listed on IDEAS

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    1. Yongming Li & Junkang Tian & Jinzhou Zhao & Liehui Zhang & Tiejun Li, 2012. "Improved Stability Analysis for Neural Networks with Time-Varying Delay," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-19, June.
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    Cited by:

    1. Shuyan Qi & Jun Zhao & Li Tang, 2023. "Adaptive Output Feedback Control for Constrained Switched Systems with Input Quantization," Mathematics, MDPI, vol. 11(3), pages 1-16, February.

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