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Finite-time stabilization of a class of cascade nonlinear switched systems under state-dependent switching

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  • Su, Qingyu
  • Jia, Xiaolong
  • Liu, Honghai

Abstract

This paper investigates finite-time stabilization (FTS) problem for a class of cascade nonlinear switched systems. Unlike the existing approach based on time-dependent switching strategy, in which the switching instants must be given in advance, largest region function strategy, i.e., state-dependent switching strategy, is adopted to design the switching signal. Based on multiple Lyapunov-like functions method, sufficient conditions for FTS of cascade nonlinear switched systems are derived and the corresponding sliding motion problems are also considered. Finally, an example is given to illustrate the applicability and the effectiveness of the proposed method.

Suggested Citation

  • Su, Qingyu & Jia, Xiaolong & Liu, Honghai, 2016. "Finite-time stabilization of a class of cascade nonlinear switched systems under state-dependent switching," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 172-180.
    • Handle: RePEc:eee:apmaco:v:289:y:2016:i:c:p:172-180
    DOI: 10.1016/j.amc.2016.05.010
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    References listed on IDEAS

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    1. Ma, Yuechao & Fu, Lei & Jing, Yanhui & Zhang, Qingling, 2015. "Finite-time H∞ control for a class of discrete-time switched singular time-delay systems subject to actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 264-283.
    2. Lin, Xiangze & Li, Xueling & Li, Shihua & Zou, Yun, 2016. "Finite-time boundedness for switched systems with sector bounded nonlinearity and constant time delay," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 25-40.
    3. Zhao, Ping & Feng, Wei & Zhao, Yan & Kang, Yu, 2015. "Finite-time stochastic input-to-state stability of switched stochastic nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 1038-1054.
    4. Ren, Hangli & Zong, Guangdeng & Hou, Linlin & Yi, Yang, 2016. "Finite-time control of interconnected impulsive switched systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 143-157.
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    Cited by:

    1. Liu, Yanhong & Zhi, Huimin & Wei, Jumei & Zhu, Xunlin & Zhu, Quanxin, 2020. "Event-triggered control for linear continuous switched singular systems," Applied Mathematics and Computation, Elsevier, vol. 374(C).
    2. Han, Yunrui & Zhao, Ying & Wang, Peng, 2021. "Finite-time rate anti-bump switching control for switched systems," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    3. Yan, Zhiguo & Song, Yunxia & Liu, Xiaoping, 2018. "Finite-time stability and stabilization for Itô-type stochastic Markovian jump systems with generally uncertain transition rates," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 512-525.

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