Pinning event‐triggered control for stochastic discrete‐time complex networks with time‐varying delay. Issue 14 (30th July 2019)

• Record Type: Journal Article
• Authors: Ren, Guojian; Yu, Yongguang; Wei, Jiamin; Xu, Conghui
• Is Part Of: IET control theory & applications. Volume 13:Issue 14(2019)
• Page Start: 2207
• Page End: 2216
• Publication Date: 2019-07-30
• Subjects: complex networks -- delays -- time‐varying systems -- stochastic systems -- stochastic processes -- discrete time systems -- synchronisation -- asymptotic stability -- Lyapunov methods -- control system synthesis; pinning event‐triggered control -- discrete‐time complex networks -- time‐varying delay -- distributed event‐triggered control strategy -- pinning control problem -- mean‐square synchronisation -- directed networks -- stochastic analysis -- stochastic complex networks -- suitable distributed event‐triggered controller -- devised control strategies; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2018.5560
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : In this study, the distributed event‐triggered control strategy is found to cope with the pinning control problem of stochastic discrete‐time complex networks with time‐varying delay. Under the devised mechanism, exponential mean‐square synchronisation can be implemented in the directed networks. By utilising the Lyapunov functional method and the stochastic analysis, several sufficient conditions are established. Moreover, the issue of average synchronisation is investigated. For the stochastic complex networks without reference state, it is demonstrated that all nodes can converge to a time‐varying weighted average exponentially by a suitable distributed event‐triggered controller. Finally, some numerical examples are presented to indicate the effectiveness of the devised control strategies.