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Estimation of the domain of attraction for discrete-time linear impulsive control systems with input saturation

Author

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  • Shen, Zixiang
  • Li, Chuandong
  • Li, Hongfei
  • Cao, Zhengran

Abstract

This paper discusses the domain of attraction and stability analysis for discrete-time linear impulsive systems with input saturation. The first goal is to give a stable condition for the system. The second is to present a strategy to find an inner estimate of the domain of attraction via establishing Lyapunov functions and using other mathematical methods. Finally, we present several examples to illustrate the validity of the conditions we have derived.

Suggested Citation

  • Shen, Zixiang & Li, Chuandong & Li, Hongfei & Cao, Zhengran, 2019. "Estimation of the domain of attraction for discrete-time linear impulsive control systems with input saturation," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    • Handle: RePEc:eee:apmaco:v:362:y:2019:i:c:1
    DOI: 10.1016/j.amc.2019.06.016
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    References listed on IDEAS

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    1. Qi, Wenhai & Kao, Yonggui & Gao, Xianwen & Wei, Yunliang, 2018. "Controller design for time-delay system with stochastic disturbance and actuator saturation via a new criterion," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 535-546.
    2. Fu, Lei & Ma, Yuechao, 2016. "Passive control for singular time-delay system with actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 181-193.
    3. Qi, Wenhai & Gao, Xianwen, 2016. "H∞ observer design for stochastic time-delayed systems with Markovian switching under partly known transition rates and actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 80-97.
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    Cited by:

    1. You, Luyao & Yang, Xueyan & Wu, Shuchen & Li, Xiaodi, 2023. "Finite-time stabilization for uncertain nonlinear systems with impulsive disturbance via aperiodic intermittent control," Applied Mathematics and Computation, Elsevier, vol. 443(C).

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