Quasisynchronization of Heterogeneous Neural Networks With Time-Varying Delays via Event-Triggered Impulsive Controls

• Published in: IEEE transactions on cybernetics Vol. 52; no. 5; pp. 3855 - 3866
• Main Authors: Sun, Wed, Yuan, Zixin, Lu, Zhenyu, Hu, Junhao, Chen, Shihua
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.05.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Biological neural networks; Control methods; Couplings; Delay effects; Delays; Event triggered; heterogeneous neural networks; impulsive control; Liapunov functions; Multi-agent systems; Neural networks; quasisynchronization; Synchronism; Synchronization; Time varying control; time-varying delays
• ISSN: 2168-2267; 2168-2275
• DOI: 10.1109/TCYB.2020.3012707

Time delays are unavoidable since they are ubiquitous and may have a great impact on the performance of neural networks. Resources efficiency is a common concern in many networked systems with limited resources. This article investigates quasisynchronization of the heterogeneous neural networks with time-varying delays via event-triggered impulsive controls which combine the impulsive control and the event-triggered technique. The centralized and distributed event-triggered impulsive controls are, respectively, presented. The suitable Lyapunov functions are constructed, and the triggering functions are derived, which guarantee that not only are the synchronization errors less than a non-negative bound but also the Zeno behaviors can be eliminated. It is suggested that the distributed one has great superiority in taking up fewer resources compared with the time-triggered impulsive control. Numerical examples are proposed to verify the validity of the centralized and distributed control methods.