Extended dissipativity stabilization and synchronization of uncertain stochastic reaction-diffusion neural networks via intermittent non-fragile control. Issue 18 (December 2019)

• Record Type: Journal Article
• Authors: Ding, Kui; Zhu, Quanxin; Liu, Lijun
• Is Part Of: Journal of the Franklin Institute. Volume 356:Issue 18(2019)
• Page Start: 11690
• Page End: 11715
• Publication Date: 2019-12
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2019.09.047
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper mainly studies the problem of extended dissipativity stabilization and synchronization of a class of uncertain stochastic reaction-diffusion neural networks with discrete and distributed time-varying delays via intermittent non-fragile control strategies. A novel stabilization and synchronization criteria and extended dissipative analysis is obtained by combining a switching time dependent Lyapunov functional method with Wirtinger's inequality technique. Then, by solving a set of delay dependent linear matrix inequalities, we obtain the desired intermittent non-fragile controller, which can be used to satisfies the prescribed level of extended dissipativity behaviors, including H ∞ behavior, passivity action, (Q, S, R )-dissipative performance, and L 2 − L ∞ performance. Finally, two numerical examples are adopted to verify the validity of the stabilization and synchronization results.