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Event-triggered H∞/passive synchronization for Markov jumping reaction-diffusion neural networks under deception

Ziwei Zhang1, Feng Li1, Ting Fang1

  • 1School of Electrical and Information Engineering, Anhui University of Technology, Ma' anshan 243032, China.

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|January 15, 2022
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Summary

This study introduces an event-triggered control for Markov jumping neural networks, ensuring H∞/passive synchronization despite deception attacks. The method optimizes communication bandwidth while maintaining robust control performance.

Keywords:
/passive synchronizationEvent-triggered transmission schemesMarkov jump neural networksReaction–diffusion

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Area of Science:

  • Control Theory
  • Networked Systems
  • Applied Mathematics

Background:

  • Master-slave synchronization is crucial for complex systems.
  • Markov jumping neural networks (MJNNs) exhibit state-dependent dynamics.
  • Reaction-diffusion terms introduce spatial complexity.
  • Deception attacks pose significant security threats to control systems.

Purpose of the Study:

  • To investigate H∞/passive master-slave synchronization for MJNNs with reaction-diffusion terms.
  • To develop an event-triggered control scheme to reduce communication load.
  • To address the challenge of deception attacks that alter control signals.

Main Methods:

  • An event-triggered transmission scheme is designed to optimize communication bandwidth.
  • Lyapunov stability theory is extended to derive sufficient conditions for synchronization.
  • Matrix convex optimization is employed to determine controller gains.
  • The proposed method accounts for randomly occurring deception attacks.

Main Results:

  • Sufficient conditions for achieving the prescribed H∞/passive performance level are established.
  • The event-triggered control scheme effectively manages communication bandwidth.
  • The controller design handles deception attacks by considering sign modifications.
  • The proposed approach is validated through a numerical example.

Conclusions:

  • The developed event-triggered control scheme ensures robust H∞/passive synchronization for MJNNs under deception attacks.
  • The methodology balances control performance with communication efficiency.
  • The findings contribute to the secure and efficient control of complex networked systems.