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Aperiodic intermittent dynamic event-triggered synchronization control for stochastic delayed multi-links complex

Yanfeng Zhao1, Lixia Sun1, Lili Chen1

  • 1College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, China.

Neural Networks : the Official Journal of the International Neural Network Society
|August 29, 2024
PubMed
Summary
This summary is machine-generated.

This study introduces a novel control strategy for stochastic complex networks with delays, achieving exponential synchronization efficiently. The proposed method significantly reduces control triggers, ensuring practical application in systems like microgrids.

Keywords:
Aperiodic intermittent controlDynamic event-triggered controlExponential synchronizationMulti-linksStochastic complex networks

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Area of Science:

  • Control Theory
  • Network Science
  • Applied Mathematics

Background:

  • Stochastic complex networks with time delays and time-varying multi-links present significant synchronization challenges.
  • Existing control methods often require frequent triggering, leading to high communication and computational burdens.

Purpose of the Study:

  • To develop a novel aperiodic intermittent dynamic event-triggered control (AIDE-TC) strategy.
  • To ensure exponential synchronization in mean square for stochastic complex networks with time delays and multi-links (SCNTM).
  • To minimize the number of control triggers while excluding Zeno behavior.

Main Methods:

  • Design of a hybrid control strategy combining intermittent control with an exponential function and dynamic event-triggered control.
  • Application of graph theoretic approach and Lyapunov function method to derive synchronization conditions.
  • Mathematical proof to exclude Zeno behavior, ensuring control feasibility.

Main Results:

  • Sufficient conditions for achieving exponential synchronization in mean square for SCNTM are established.
  • The proposed AIDE-TC effectively reduces the number of event triggers compared to traditional methods.
  • Numerical simulations on islanded microgrid systems validate the control strategy's effectiveness.

Conclusions:

  • The AIDE-TC is a feasible and effective mechanism for achieving exponential synchronization in SCNTM.
  • The proposed control strategy offers a significant reduction in control signal transmissions.
  • This work provides a valuable framework for designing efficient controllers for complex network systems.