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Zbl 1248.93127
Pan, Lijun; Cao, Jinde
Exponential synchronization for impulsive dynamical networks. (English)
[J] Discrete Dyn. Nat. Soc. 2012, Article ID 232794, 20 p. (2012). ISSN 1026-0226; ISSN 1607-887X/e

Summary: This paper is devoted to exponential synchronization for complex dynamical networks with delay and impulsive effects. The coupling configuration matrix is assumed to be irreducible. By using impulsive differential inequality and the Kronecker product techniques, some criteria are obtained to guarantee the exponential synchronization for dynamical networks. We also extend the delay fractioning approach to the dynamical networks by constructing a Lyapunov-Krasovskii functional and comparing to a linear discrete system. Meanwhile, numerical examples are given to demonstrate the theoretical results.

MSC 2000:: *93D05 Lyapunov and other classical stabilities of control systems

Keywords: impulsive dynamical networks; exponential synchronization

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