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Stabilization of stochastic delayed systems: Event-triggered impulsive control

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  • Peng, Dongxue
  • Li, Xiaodi
  • Rakkiyappan, R.
  • Ding, Yanhui

Abstract

In this paper, we discuss the stability problem of impulsive stochastic delayed systems within the framework of event-triggered control strategy. Event-triggered impulsive control (ETIC) is proposed to guarantee system’s pth moment stability performance. In ETIC, the impulsive control inputs are generated by some pre-designed event triggering conditions and control inputs in the period of two triggered instants are not required. Then controller design problems for nonlinear impulsive stochastic delayed systems are addressed to show the validity of our theoretical results. Moreover, the involved non-Zeno problem is addressed in detail. Finally, two interesting examples with simulation results are performed to substantiate the validity and merits of our theoretical analysis.

Suggested Citation

  • Peng, Dongxue & Li, Xiaodi & Rakkiyappan, R. & Ding, Yanhui, 2021. "Stabilization of stochastic delayed systems: Event-triggered impulsive control," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    • Handle: RePEc:eee:apmaco:v:401:y:2021:i:c:s0096300321001028
    DOI: 10.1016/j.amc.2021.126054
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    Cited by:

    1. Lichao Feng & Qiaona Wang & Chunyan Zhang & Dianxuan Gong, 2022. "Polynomial Noises for Nonlinear Systems with Nonlinear Impulses and Time-Varying Delays," Mathematics, MDPI, vol. 10(9), pages 1-13, May.
    2. Yujuan Tian & Yuhan Yin & Fei Wang & Kening Wang, 2022. "Impulsive Control of Complex-Valued Neural Networks with Mixed Time Delays and Uncertainties," Mathematics, MDPI, vol. 10(3), pages 1-14, February.
    3. He, Xinyi & Wang, Yuhan & Li, Xiaodi, 2021. "Uncertain impulsive control for leader-following synchronization of complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    4. Zhiguo Yan & Fangxu Su, 2022. "Mean-Square Strong Stability and Stabilization of Discrete-Time Markov Jump Systems with Multiplicative Noises," Mathematics, MDPI, vol. 10(6), pages 1-16, March.
    5. Li, Huijuan & Li, Wuquan & Gu, Jianzhong, 2022. "Decentralized stabilization of large-scale stochastic nonlinear systems with time-varying powers," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    6. Huang, Tao & Shao, Yiyu & Li, Liwei & Liu, Yajuan & Shen, Mouquan, 2024. "Guaranteed cost event-triggered H∞ control of uncertain linear system via output disturbance observer," Applied Mathematics and Computation, Elsevier, vol. 473(C).
    7. Liu, Haoliang & Zhang, Taixiang & Li, Xiaodi, 2021. "Event-triggered control for nonlinear systems with impulse effects," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).

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