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Impulsive stabilization of nonlinear singular switched systems with all unstable-mode subsystems

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  • Zhan, Tao
  • Ma, Shuping
  • Chen, Hao

Abstract

This paper studies the impulsive stabilization of a class of nonlinear singular switched systems (SWSs). With the aid of discretized Lyapunov method, a reduced-order impulsive controller is designed, which just works on the slow state variables to stabilize SWSs at impulsive instant. Based on the designed controller, it is shown that the stabilization of SWSs is achieved in two cases: all unstable subsystems with stabilizing impulses and all stable subsystems even with destabilizing impulses. Finally, an example is presented to demonstrate the effectiveness of the proposed controller.

Suggested Citation

  • Zhan, Tao & Ma, Shuping & Chen, Hao, 2019. "Impulsive stabilization of nonlinear singular switched systems with all unstable-mode subsystems," Applied Mathematics and Computation, Elsevier, vol. 344, pages 57-67.
    • Handle: RePEc:eee:apmaco:v:344-345:y:2019:i::p:57-67
    DOI: 10.1016/j.amc.2018.10.009
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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. Zhang, Ruimei & Zeng, Deqiang & Zhong, Shouming & Yu, Yongbin, 2017. "Event-triggered sampling control for stability and stabilization of memristive neural networks with communication delays," Applied Mathematics and Computation, Elsevier, vol. 310(C), pages 57-74.
    3. Qian Liu & Senping Tian & Panpan Gu, 2018. "Iterative learning control for a class of singular impulsive systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(7), pages 1383-1390, May.
    4. Zeng, Deqiang & Zhang, Ruimei & Liu, Yajuan & Zhong, Shouming, 2017. "Sampled-data synchronization of chaotic Lur’e systems via input-delay-dependent-free-matrix zero equality approach," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 34-46.
    5. 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.
    6. Shi, Shuang & Fei, Zhongyang & Shi, Zhenpeng & Ren, Shunqing, 2018. "Stability and stabilization for discrete-time switched systems with asynchronism," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 520-536.
    7. Luo, Jinnan & Tian, Wenhong & Zhong, Shouming & Shi, Kaibo & Chen, Hao & Gu, Xian-Ming & Wang, Wenqin, 2017. "Non-fragile asynchronous H∞ control for uncertain stochastic memory systems with Bernoulli distribution," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 109-128.
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    Cited by:

    1. Zhang, Jie & Sun, Yuangong, 2021. "Practical exponential stability of discrete-time switched linear positive systems with impulse and all modes unstable," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    2. Jiao, Ticao & Park, Ju H. & Zong, Guangdeng & Liu, Jian & Chen, Yu, 2019. "Stochastic stability analysis of switched genetic regulatory networks without stable subsystems," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 261-277.
    3. Ju, Yanhao & Sun, Yuangong & Meng, Fanwei, 2020. "Stabilization of switched positive system with impulse and marginally stable subsystems: A mode-dependent dwell time method," Applied Mathematics and Computation, Elsevier, vol. 383(C).

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