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The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
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Robust modified function projective lag synchronization between two nonlinear complex networks with

Chuan Zhang1, Xingyuan Wang2, Xiaolin Ye3

  • 1School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China; Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China.

ISA Transactions
|January 28, 2020
PubMed
Summary
This summary is machine-generated.

This study introduces robust modified function projective lag synchronization (MFPLS) for complex networks. Novel controllers and adaptive laws effectively handle disturbances, achieving synchronization in diverse network scenarios.

Keywords:
Adaptive strategyDifferent-dimensional nodesDisturbancesModified function projective lag synchronizationNonlinear complex networks

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Area of Science:

  • Complex Networks
  • Nonlinear Systems
  • Control Theory

Background:

  • Synchronization is crucial for complex network functions.
  • Existing methods often struggle with disturbances and network complexity.
  • Robustness and generality are key challenges in network synchronization.

Purpose of the Study:

  • To investigate robust modified function projective lag synchronization (MFPLS) in complex networks.
  • To design novel hybrid controllers for synchronization under disturbances.
  • To develop adaptive disturbance attenuation laws for enhanced network stability.

Main Methods:

  • Theoretical analysis using Lyapunov functional method.
  • Design of robust hybrid controllers.
  • Development of adaptive updated laws for disturbance attenuation.

Main Results:

  • Derived synchronization criteria through rigorous theoretical proof.
  • Demonstrated the effectiveness of proposed controllers in networks with and without disturbances.
  • Achieved MFPLS in complex networks with nonlinear couplings and different-dimensional nodes.

Conclusions:

  • The proposed MFPLS approach is more general than existing methods.
  • The designed controllers and adaptive laws effectively address parameter and external disturbances.
  • The theoretical framework provides a robust solution for complex network synchronization.