Impulsive H∞ synchronization for reaction–diffusion neural networks with mixed delays

• Published in: Neurocomputing (Amsterdam) Vol. 272; pp. 481 - 494
• Main Authors: Liu, Lijun, Chen, Wu-Hua, Lu, Xiaomei
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 10.01.2018
• Subjects: H∞ synchronization; Impulsive control; Linear matrix inequality (LMI); Reaction–diffusion neural networks; Time-dependent Lyapunov function/functional; Impulsive control; Linear matrix inequality (LMI); Reaction–diffusion neural networks; Time-dependent Lyapunov function/functional; H∞ synchronization
• ISSN: 0925-2312; 1872-8286
• DOI: 10.1016/j.neucom.2017.07.023

This paper presents a study on impulsive H∞ synchronization analysis of reaction–diffusion neural networks with discrete and distributed delays. It is assumed that the output information of the drive system is only available at discrete instants, and the dynamics of the response system are subject to external disturbance. To achieve H∞ synchronization, an impulsive synchronization strategy is proposed which is based on feedback from the sampled-data of the drive and response dynamics. Novel time-dependent Lyapunov function/functional methods are developed for L2-gain analysis of synchronization error systems, both for fast-varying delays and for slowly-varying delays. LMI-based optimization methods are suggested to design impulsive H∞ synchronization controllers with minimized feedback gain. Numerical simulations are provided to validate the effectiveness of the theoretical results.