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Finite-time boundedness for switched systems with sector bounded nonlinearity and constant time delay

Author

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  • Lin, Xiangze
  • Li, Xueling
  • Li, Shihua
  • Zou, Yun

Abstract

Finite-time boundedness and finite-time stability of switched systems with sector bounded nonlinearity and constant time delay are investigated. Sufficient conditions which guarantee finite-time stability or finite-time boundedness of the switched nonlinear system are presented respectively. Average dwell time of switching signals is also given. Moreover, finite-time weighted L2-gain of the switched nonlinear system is addressed to measure its disturbance tolerance capability in the fixed time interval. Detail proofs are accomplished by using multiple Lyapunov-like functions. An example is employed to verify the efficiency of the proposed method.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:274:y:2016:i:c:p:25-40
    DOI: 10.1016/j.amc.2015.11.010
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    Cited by:

    1. Fu, Baozeng & Li, Shihua & Yang, Jun & Guo, Lei, 2018. "Global output regulation for a class of single input Port-controlled Hamiltonian disturbed systems," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 322-331.
    2. Lin, Xiangze & Zhang, Wanli & Huang, Shuaiting & Zheng, Enlai, 2020. "Finite-time stabilization of input-delay switched systems," Applied Mathematics and Computation, Elsevier, vol. 375(C).
    3. Liu, Jinliang & Xia, Jilei & Tian, Engang & Fei, Shumin, 2018. "Hybrid-driven-based H∞ filter design for neural networks subject to deception attacks," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 158-174.
    4. 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.
    5. Wang, Yijing & Zou, Yanchao & Zuo, Zhiqiang & Li, Hongchao, 2016. "Finite-time stabilization of switched nonlinear systems with partial unstable modes," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 172-181.
    6. Lin, Xiangze & Li, Shihua & Zou, Yun, 2017. "Finite-time stabilization of switched linear time-delay systems with saturating actuators," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 66-79.
    7. Zhang, Wanli & Wei, Zihang & Lin, Xiangze & Chen, Chih-chiang, 2021. "Finite-time bounded sampled-data control of switched time-delay systems with sector bounded nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).

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