期刊
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
卷 49, 期 2, 页码 315-338出版社
SIAM PUBLICATIONS
DOI: 10.1137/080722060
关键词
complex dynamical networks; synchronization; impulsive consensus; global exponential impulsive consensus; robust global exponential stability; consensus rate; time-delays; Lyapunov-Krasovskii function
资金
- ARC-Australia [DP0881391]
- Hunan University of Technology, Hunan, China, under the Foundation of NSFC-China [60874025]
This paper investigates the problem of global consensus between a complex dynamical network (CDN) and a known goal signal by designing an impulsive consensus control scheme. The dynamical network is complex with respect to the uncertainties, nonidentical nodes, and coupling time-delays. The goal signal can be a measurable vector function or a solution of a dynamical system. By utilizing the Lyapunov function and Lyapunov-Krasovskii functional methods, robust global exponential stability criteria are derived for the error system, under which global exponential impulsive consensus is achieved for the CDN. These criteria are expressed in terms of linear matrix inequalities (LMIs) and algebraic inequalities. Thus, the impulsive controller can be easily designed by solving the derived inequalities. Meanwhile, the estimations of the consensus rate for global exponential consensus are also obtained. Two examples with numerical simulations are worked out for illustration.
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