Asymptotical Synchronization of Coupled Nonlinear Partial Differential Systems With Impulsive Effects. Issue 6 (29th January 2015)

• Record Type: Journal Article
• Authors: Wu, Kai‐Ning; Zhu, Ya‐Nan; Chen, Bor‐Sen; Yao, Yu
• Is Part Of: Asian journal of control. Volume 17:Issue 6(2015:Nov.)
• Page Start: 2363
• Page End: 2373
• Publication Date: 2015-01-29
• Subjects: Partial differential systems -- synchronization -- impulsive -- fixed topology -- switching topology; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.1103
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: This paper considers the asymptotical synchronization of coupled nonlinear impulsive partial differential systems (PDSs) in complex networks. The cases of both complex networks with fixed topology and switching topology are studied. Based on the Lyapunov–Krasoviskii functional method, sufficient conditions are presented to guarantee the asymptotical synchronization of nonlinear impulsive PDSs, under the cases of fixed topology or switching topology. The effect of the spatial domain is exhibited in these sufficient conditions. Moreover, these sufficient conditions provide a method for selecting a suitable impulsive strategy for the coupled PDSs to achieve the asymptotical synchronization. Finally, numerical examples are given to illustrate the correctness.