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Volume 7 Issue 3
Apr.  2020

IEEE/CAA Journal of Automatica Sinica

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Chao Liu, Zheng Yang, Xiaoyang Liu and Xianying Huang, "Stability of Delayed Switched Systems With State-Dependent Switching," IEEE/CAA J. Autom. Sinica, vol. 7, no. 3, pp. 872-881, May 2020. doi: 10.1109/JAS.2019.1911624
Citation: Chao Liu, Zheng Yang, Xiaoyang Liu and Xianying Huang, "Stability of Delayed Switched Systems With State-Dependent Switching," IEEE/CAA J. Autom. Sinica, vol. 7, no. 3, pp. 872-881, May 2020. doi: 10.1109/JAS.2019.1911624

Stability of Delayed Switched Systems With State-Dependent Switching

doi: 10.1109/JAS.2019.1911624
Funds:  This work was supported by the National Natural Science Foundation of China (61503052, 61503050, 61603065), the Scientific and Technological Research Program of Chongqing Municipal Education Commission (KJQN201801120, KJQN201801104, KJ1709206), the Opening Foundation of Hubei Key Laboratory of Applied Mathematics (Hubei University) (HBAM201805), and Chongqing Science and Technology Commission Technology Innovation and Application Demonstration (Social Livelihood General) Project (cstc2018jscx-msybX0049)
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  • This paper investigates the stability of switched systems with time-varying delay and all unstable subsystems. According to the stable convex combination, we design a state-dependent switching rule. By employing Wirtinger integral inequality and Leibniz-Newton formula, the stability results of nonlinear delayed switched systems whose nonlinear terms satisfy Lipschitz condition under the designed state-dependent switching rule are established for different assumptions on time delay. Moreover, some new stability results for linear delayed switched systems are also presented. The effectiveness of the proposed results is validated by three typical numerical examples.

     

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    Highlights

    • Stability results for switched systems under state-dependent switching rule are derived.
    • The restriction on time delay is weakened.
    • State-dependent switching rule is designed for nonlinear switched systems.

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