Eur. Phys. J. B (2015) 88: 45
https://doi.org/10.1140/epjb/e2014-50577-2

Regular Article

Mean square modified function projective synchronization of uncertain complex network with multi-links and stochastic perturbations

¹ School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P.R. China
² Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, P.R. China

^a e-mail: lilixiang2006@163.com

Received: 23 August 2014
Received in final form: 20 October 2014
Published online: 9 February 2015

Abstract

In this paper, it is mainly concerned with the issue of mean square modified function projective synchronization of uncertain complex network with multi-links and stochastic perturbations. The uncertain terms are the unknown topological structure which exists inside the complex network and the external noise is imposed to the network. In order to achieve the mean square modified function projective synchronization of complex dynamical network, a strict feedback controller and novel adaptive control laws are designed based on Lyapunov stability theory, inequality techniques, and the properties of the Weiner process to obtain several novel synchronization criterion. Furthermore, the effectiveness of the proposed control scheme is validated by numerical simulations.