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Exponential stability of nonlinear systems via event-triggered impulsive control based on partial states

Author

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  • Li, Mingyue
  • Wang, Mingzhu
  • Liu, Wenlu
  • Wu, Shuchen
  • Li, Xiaodi

Abstract

In the framework of partial unknown states, this paper studies the exponential stability problem of nonlinear systems. A novel event-triggered mechanism (ETM) just involving partial known states is designed to guarantee the exponential stability of considered system, where forced impulse with great freedom degree is introduced in ETM. What's more, the information of known states of the system is fetched and applied to supplement the unknown part at impulse instants. With the help of matrix analysis technique, some linear matrix inequalities (LMI) based sufficient conditions are presented from the perspective of the quantity of known and unknown states. Besides, our proposed conditions establish the relationship of event-triggered parameters, impulse interval, and impulse strength. Finally, expository examples and their numerical modeling are appeared to prove the availability of main results.

Suggested Citation

  • Li, Mingyue & Wang, Mingzhu & Liu, Wenlu & Wu, Shuchen & Li, Xiaodi, 2023. "Exponential stability of nonlinear systems via event-triggered impulsive control based on partial states," Applied Mathematics and Computation, Elsevier, vol. 459(C).
    • Handle: RePEc:eee:apmaco:v:459:y:2023:i:c:s0096300323004435
    DOI: 10.1016/j.amc.2023.128274
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    References listed on IDEAS

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    1. Liu, Bin & Sun, Zhijie & Luo, Yihao & Zhong, Yuxuan, 2019. "Uniform synchronization for chaotic dynamical systems via event-triggered impulsive control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    2. 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).
    3. Chen, Xiang & Li, Shi & Wang, Ronghao & Xiang, Zhengrong, 2023. "Event-Triggered output feedback adaptive control for nonlinear switched interconnected systems with unknown control coefficients," Applied Mathematics and Computation, Elsevier, vol. 445(C).
    4. Gao, Shuo & Wen, Guoguang & Zhai, Xiaoqin & Zheng, Peng, 2023. "Finite-/fixed-time bipartite consensus for first-order multi-agent systems via impulsive control," Applied Mathematics and Computation, Elsevier, vol. 442(C).
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