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Mathematical Biosciences and Engineering

2023, Volume 20, Issue 1: 52-75. doi: 10.3934/mbe.2023004
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Research article

Synchronization control of time-delay neural networks via event-triggered non-fragile cost-guaranteed control

  • 1.
    School of Computer Science & Technology, Anhui University of Technology, Ma'anshan 243032, China
  • 2.
    School of Electrical & Information Engineering, Anhui University of Technology, Ma'anshan 243032, China

  • Academic Editor: Yang Kuang
  • Received: 10 August 2022 Revised: 13 September 2022 Accepted: 22 September 2022 Published: 29 September 2022

  • This paper is devoted to event-triggered non-fragile cost-guaranteed synchronization control for time-delay neural networks. The switched event-triggered mechanism, which combines periodic sampling and continuous event triggering, is used in the feedback channel. A piecewise functional is first applied to fully utilize the information of the state and activation function. By employing the functional, various integral inequalities, and the free-weight matrix technique, a sufficient condition is established for exponential synchronization and cost-related performance. Then, a joint design of the needed non-fragile feedback gain and trigger matrix is derived by decoupling several nonlinear coupling terms. On the foundation of the joint design, an optimization scheme is given to acquire the minimum cost value while ensuring exponential stability of the synchronization-error system. Finally, a numerical example is used to illustrate the applicability of the present design scheme.

    Citation: Wenjing Wang, Jingjing Dong, Dong Xu, Zhilian Yan, Jianping Zhou. Synchronization control of time-delay neural networks via event-triggered non-fragile cost-guaranteed control[J]. Mathematical Biosciences and Engineering, 2023, 20(1): 52-75. doi: 10.3934/mbe.2023004

    Related Papers:

  • This paper is devoted to event-triggered non-fragile cost-guaranteed synchronization control for time-delay neural networks. The switched event-triggered mechanism, which combines periodic sampling and continuous event triggering, is used in the feedback channel. A piecewise functional is first applied to fully utilize the information of the state and activation function. By employing the functional, various integral inequalities, and the free-weight matrix technique, a sufficient condition is established for exponential synchronization and cost-related performance. Then, a joint design of the needed non-fragile feedback gain and trigger matrix is derived by decoupling several nonlinear coupling terms. On the foundation of the joint design, an optimization scheme is given to acquire the minimum cost value while ensuring exponential stability of the synchronization-error system. Finally, a numerical example is used to illustrate the applicability of the present design scheme.


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