Passivity Analysis of Coupled Stochastic Neural Networks with Multiweights. (3rd August 2021)

• Record Type: Journal Article
• Authors: Cao, Min; Yin, Xun-Wu; Song, Wen-He; Sun, Xue-Mei; Yang, Cheng-Dong; Ren, Shun-Yan
• Other Names: Jia Ya Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2021(2021)
• Publication Date: 2021-08-03
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2021/9688627
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : In this paper, we devote to the investigation of passivity in two types of coupled stochastic neural networks (CSNNs) with multiweights and incompatible input and output dimensions. First, some new definitions of passivity are proposed for stochastic systems that may have incompatible input and output dimensions. By utilizing stochastic analysis techniques and Lyapunov functional method, several sufficient conditions are respectively developed for ensuring that CSNNs without and with multiple delay couplings can realize passivity. Besides, the synchronization criteria for CSNNs with multiweights are established by employing the results of output-strictly passivity. Finally, two simulation examples are given to illustrate the validity of the theoretical results.