Global synchronization of complex networks with interval time-varying delays and stochastic disturbances
Yijun Zhang, Shengyuan Xu, Yu‐Ming Chu · International Journal of Computer Mathematics · 2010
The synchronization problem is considered for a class of stochastic complex networks with interval time-varying delays. Based on the Lyapunov functional method and stochastic analysis theory, delay-dependent sufficient conditions are obtained, which ensure that the identical delayed networks are globally synchronized in the mean square sense. Furthermore, the ‘piecewise delay’ approach is improved to deal with the synchronization problem of systems with stochastic disturbances by introducing two new lemmas. The efficiency and applicability of the proposed methodology are demonstrated by two numerical examples.