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Global μ-synchronization for coupling delayed complex dynamical networks via event-triggered delayed impulsive

Wei Zhang1, Jun Xiao1, Bingyan Gong1

  • 1Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, Department of Electronics and Information Engineering, Southwest University, Chongqing 400715, China.

ISA Transactions
|December 14, 2023
PubMed
Summary

This study introduces a novel event-triggered impulsive control (ETIC) method for complex dynamical networks (CDNs). This approach efficiently achieves global μ-synchronization while avoiding Zeno behavior.

Keywords:
Event-triggered controlNonlinear complex dynamical networksParametric uncertaintyTime delayμ-synchronization

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Area of Science:

  • Control Theory
  • Network Science
  • Dynamical Systems

Background:

  • Complex dynamical networks (CDNs) present challenges in achieving global μ-synchronization.
  • Existing control methods often have limitations, such as strict Lyapunov function decrease requirements.
  • Periodic impulsive control can be inefficient as it triggers at fixed intervals.

Purpose of the Study:

  • To develop a novel event-triggered impulsive control (ETIC) method for global μ-synchronization in CDNs.
  • To apply event-triggered control to the field of μ-synchronization for the first time.
  • To address time delays, coupled delays, and uncertainties within CDNs.

Main Methods:

  • A novel event-triggered mechanism is designed specifically for μ-synchronization.
  • Combines advantages of impulsive and event-triggered control strategies.
  • Employs Lyapunov-Razumikhin and recursion techniques to derive synchronization criteria.

Main Results:

  • Achieved global μ-synchronization criteria for CDNs under the proposed ETIC method.
  • Demonstrated that the ETIC method avoids Zeno behavior.
  • Successfully considered coupled delays and uncertainties in the network models.

Conclusions:

  • The developed ETIC strategy is effective for achieving global μ-synchronization in CDNs.
  • The event-triggered approach offers a more practical and efficient control solution compared to periodic methods.
  • Numerical examples validate the proposed control strategy's correctness and efficacy.