Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Fixed-Time Aperiodic Intermittent Control for Quasi-bipartite Synchronization of Competitive Neural Networks

Version 1 : Received: 26 January 2024 / Approved: 26 January 2024 / Online: 26 January 2024 (09:01:04 CET)

A peer-reviewed article of this Preprint also exists.

Tang, S.; Li, J.; Jiang, H.; Wang, J. Fixed-Time Aperiodic Intermittent Control for Quasi-Bipartite Synchronization of Competitive Neural Networks. Entropy 2024, 26, 199. Tang, S.; Li, J.; Jiang, H.; Wang, J. Fixed-Time Aperiodic Intermittent Control for Quasi-Bipartite Synchronization of Competitive Neural Networks. Entropy 2024, 26, 199.

Abstract

In this paper, a class of coupled competitive neural networks, which subject to disturbance and discontinuous activation functions, is concerned. To realize the fixed-time quasi-bipartite synchronization, an aperiodic intermittent controller is initially designed. Subsequently, by combining the fixed-time stability theory and nonsmooth analysis, several criteria are established to ensure the bipartite synchronization in fixed time. Moreover, synchronization error bounds and settling time estimates are provided. Finally, numerical simulations are presented to verify the main results.

Keywords

Competitive neural network; Quasi-bipartite synchronization; Fixed-time intermittent control; External disturbance

Subject

Computer Science and Mathematics, Applied Mathematics

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