Control the complex networks with different dynamical nodes by impulse

Abstract

This paper investigates the problem of stability in complex dynamical networks. Based on the stability theory for impulsive differential equations, an impulsive control scheme is proposed to achieve impulsive stability for complex dynamical networks with different dynamical nodes. The control strategy are generalized for the network models with diffusive and irreducible coupling matrix, and some criteria and corollary are derived to guarantee the network stability. Simulated examples are provided by using the chaotic Lorenz systems and Chua's circuit systems as nodes of the dynamical network, and the effectiveness of the proposed impulsive control are demonstrated finally. © 2009 Springer Berlin Heidelberg.