Exponential Synchronization for Impulsive Dynamical Networks | Zendy

Lijun Pan | Zendy; Jinde Cao | Zendy

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Exponential Synchronization for Impulsive Dynamical Networks

Author(s) -

Lijun Pan,

Jinde Cao

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/232794

Subject(s) - kronecker product , synchronization (alternating current) , exponential function , dynamical systems theory , mathematics , synchronization networks , kronecker delta , dynamical system (definition) , complex network , linear matrix inequality , exponential stability , product (mathematics) , projected dynamical system , control theory (sociology) , computer science , topology (electrical circuits) , linear dynamical system , mathematical optimization , mathematical analysis , linear system , nonlinear system , random dynamical system , physics , combinatorics , geometry , control (management) , quantum mechanics , artificial intelligence

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

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