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Fixed-Time Synchronization Control of Delayed Dynamical Complex Networks.

Mei Liu1, Binglong Lu1, Zhanfeng Li1

  • 1School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China.

Entropy (Basel, Switzerland)
|December 24, 2021
PubMed
Summary
This summary is machine-generated.

This study addresses fixed-time synchronization for complex networks with delays. New criteria and controllers ensure faster synchronization, reducing conservatism in existing methods for delayed dynamical networks.

Keywords:
adaptive controlcomplex networksdelayfeedback controlfixed-time synchronization

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Area of Science:

  • Control Theory
  • Network Science
  • Dynamical Systems

Background:

  • Complex networks with time delays are prevalent in various scientific domains.
  • Achieving synchronization within a fixed settling time is crucial for system performance and stability.
  • Existing methods for fixed-time synchronization often involve conservative conditions and lengthy synchronization times.

Purpose of the Study:

  • To investigate the fixed-time synchronization problem for delayed dynamical complex networks.
  • To develop novel control strategies that guarantee fixed-time synchronization with improved efficiency.
  • To reduce the conservatism of existing synchronization criteria and time estimates.

Main Methods:

  • Design of adaptive and discontinuous feedback controllers.
  • Application of a new theorem for fixed-time synchronization.
  • Analysis of coupled delayed neural networks as a specific case.
  • Numerical simulations to validate controller performance and synchronization criteria.

Main Results:

  • New criteria for achieving fixed-time synchronization in delayed dynamical networks.
  • Demonstration that adaptive and discontinuous controllers can achieve fixed-time synchronization.
  • Reduced conservatism in synchronization conditions and time estimation compared to prior work.
  • Validation of the proposed methods through a numerical example involving coupled delayed neural networks.

Conclusions:

  • The proposed controllers and criteria effectively achieve fixed-time synchronization for delayed dynamical complex networks.
  • The new theorem offers less conservative conditions and tighter time estimates for synchronization.
  • The findings contribute to the advancement of control strategies for complex network synchronization.