Passivity and synchronization of switched coupled reaction–diffusion neural networks with non-delayed and delayed couplings. Issue 9 (2nd September 2019)

• Record Type: Journal Article
• Authors: Huang, Yan-Li; Ren, Shun-Yan; Wu, Jigang; Xu, Bei-Bei
• Is Part Of: International journal of computer mathematics. Volume 96:Issue 9(2019)
• Page Start: 1702
• Page End: 1722
• Publication Date: 2019-09-02
• Subjects: Coupled reaction–diffusion neural networks -- synchronization -- switching topology -- input strict passivity -- output strict passivity; 35Q93 -- 93D05 -- 37F15; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2018.1463437
• Languages: English
• ISSNs: 0020-7160

Abstract

ABSTRACT: This paper presents a general array model of switched coupled reaction–diffusion neural networks (CRDNNs) with non-delayed and delayed couplings. By utilizing some inequality techniques, we derive several sufficient conditions ensuring the input strict passivity and output strict passivity of the proposed network model. In addition, by constructing an appropriate Lyapunov functional, a sufficient condition is established in the form of linear matrix inequations to guarantee synchronization of CRDNNs with switched topology. Numerical examples with simulation results are provided to demonstrate the effectiveness and correctness of the obtained results.