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Stabilization of switched positive system with impulse and marginally stable subsystems: A mode-dependent dwell time method

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  • Ju, Yanhao
  • Sun, Yuangong
  • Meng, Fanwei

Abstract

In this article, the problem of stabilization for the switched positive linear system (SPLS) with impulse and marginally stable subsystems is studied, in which both the continuous time case and the discrete time case are taken into account. By the usage of a piecewise weak linear copositive Lyapunov function (LCLF) and the mode-dependent dwell time (MDT), time-dependent switching control laws are designed to guarantee the asymptotic stability of the system. Furthermore, based on the comparison principal for positive systems, the main results are generalized to the time-variant SPLS. Two examples are worked out to indicate that our results have advantages over some known results in the literature.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:383:y:2020:i:c:s0096300320303416
    DOI: 10.1016/j.amc.2020.125377
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    References listed on IDEAS

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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. 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. Kang, Yu & Zhang, Niankun & Chen, Guoyong, 2023. "Global exponential stability of impulsive switched positive nonlinear systems with mode-dependent impulses," Applied Mathematics and Computation, Elsevier, vol. 436(C).
    4. Sun, Yuangong & Tian, Yazhou, 2022. "Polynomial stability of positive switching homogeneous systems with different degrees," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    5. Li, Jinghan & Zhao, Jun, 2022. "Bumpless transfer based event-triggered control for switched linear systems with state-dependent switching," Applied Mathematics and Computation, Elsevier, vol. 430(C).

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