Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (6): 1607-1616.

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Event-Triggered Control for a Class of Stochastic Time-Delay Nonlinear Systems

Tang Jun(),Wu Ailong*()   

  1. College of Mathematics and Statistics, Hubei Normal University, Hubei Huangshi 435000
  • Received:2023-11-13 Revised:2024-04-16 Online:2024-12-26 Published:2024-11-22
  • Supported by:
    Hubei Outstanding Youth Foundation(2021CFA080)

Abstract:

In this paper, the stability problem of stochastic time-varying delay differential nonlinear systems with external disturbances and uncertainties is discussed. In order to reduce the transmission frequency of the feedback control signal, the intermittent event triggering control strategy is adopted, and Zeno behavior is excluded. The practically input-to-state stability is used to describe the dynamic performance of control targets in event-triggered schemes. In addition, by means of linear matrix inequalities, theoretical criteria for stability of stochastic time-varying delay nonlinear systems with event-triggered feedback control are obtained. Finally, several examples and simulations are given to illustrate the validity of the results.

Key words: Event-trigger control, Practically input-to-state stability, Time-varying delay, Stochastic system

CLC Number: 

  • O231.2
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