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New synchronization criteria for complex delayed dynamical networks with sampled-data feedback control.

Zhuo Chen1, Kaibo Shi2, Shouming Zhong3

  • 1College of Management Science, Chengdu University of Technology, 610059, China.

ISA Transactions
|April 9, 2016
PubMed
Summary
This summary is machine-generated.

This study enhances synchronization for complex delayed dynamical networks using sampled-data control. New methods provide tighter bounds and effective controllers, validated by simulations.

Keywords:
Complex dynamical networksNovel integral inequalitiesSampled-data controlSynchronizationTime-varying coupling delay

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Area of Science:

  • Control Theory
  • Network Dynamics
  • Systems Engineering

Background:

  • Complex delayed dynamical networks (CDDNs) present significant synchronization challenges.
  • Existing control methods often suffer from conservativeness and limited bounds.

Purpose of the Study:

  • To investigate and solve the synchronization problem for CDDNs using sampled-data feedback control.
  • To develop novel techniques for reducing conservativeness and improving synchronization criteria.

Main Methods:

  • Construction of an augmented Lyapunov-Krasovskii function (LKF) with new triple integral terms.
  • Application of the reciprocally convex technique and novel integral inequalities for tighter bounds.
  • Design of sampled-data controllers via solving linear matrix inequalities (LMIs).

Main Results:

  • Reduced conservativeness in synchronization criteria.
  • Achieved tighter bounds compared to existing integral inequalities.
  • Successfully designed effective sampled-data controllers.

Conclusions:

  • The proposed methods effectively address the synchronization problem for CDDNs.
  • The novel approach offers significant advantages over existing techniques.
  • Numerical simulations confirm the effectiveness and superiority of the developed control strategies.