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Event-Triggered Impulsive Optimal Control for Continuous-Time Dynamic Systems with Input Time-Delay

Author

Listed:
  • Quanyu Bai

    (Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China)

  • Wei Zhu

    (Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China)

Abstract

Time-delay is an inevitable factor in practice, which may affect the performance of optimal control. In this paper, the event-triggered impulsive optimal control for linear continuous-time dynamic systems is studied. The event-triggered impulsive optimal feedback controller with input time-delay is presented, where the impulsive instants are determined by some designed event-triggering function and condition depending on the state of the system. Some sufficient conditions are given for guaranteeing the exponential stability with the optimal controller. Moreover, the Zeno-behavior for the impulsive instants is excluded. Finally, an example with numerical simulation is given to verify the validity of the theoretical results.

Suggested Citation

  • Quanyu Bai & Wei Zhu, 2022. "Event-Triggered Impulsive Optimal Control for Continuous-Time Dynamic Systems with Input Time-Delay," Mathematics, MDPI, vol. 10(2), pages 1-16, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:2:p:279-:d:726430
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    Citations

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    Cited by:

    1. Chenglong Zhu & Li He & Kanjian Zhang & Wei Sun & Zengxiang He, 2022. "Optimal Timing Fault Tolerant Control for Switched Stochastic Systems with Switched Drift Fault," Mathematics, MDPI, vol. 10(11), pages 1-16, May.
    2. Ruofeng Rao & Zhi Lin & Xiaoquan Ai & Jiarui Wu, 2022. "Synchronization of Epidemic Systems with Neumann Boundary Value under Delayed Impulse," Mathematics, MDPI, vol. 10(12), pages 1-10, June.
    3. Xing, Xiaofei & Wu, Huaiqin & Cao, Jinde, 2024. "Finite-time synchronization of impulsive stochastic systems with DoS attacks via dynamic event-triggered control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 219(C), pages 573-593.
    4. Xinggui Li & Ruofeng Rao & Xinsong Yang, 2022. "Impulsive Stabilization on Hyper-Chaotic Financial System under Neumann Boundary," Mathematics, MDPI, vol. 10(11), pages 1-18, May.

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