Zhong Shou-ming

Function projective synchronization between two different complex networks with correlated random disturbances

Although function projective synchronization in complex dynamical networks has been extensively studied in the literature, few papers deal with the problem between two different complex networks with correlated random disturbances. In this paper, we present some novel techniques to analyze the problem of synchronization. A probability approach is introduced to obtain an almost sure synchronization criterion. We also present some efficient approaches to analyze the problem of exponential synchronization. For the problem of synchronization in some complex networks, our approaches not only can replace the LaSalle-type theorem but also allow improvements of existing results in the literature. Finally, some numerical examples are provided to demonstrate the effectiveness of the proposed approaches.

The stability of the linear systems with delays

In this paper, we study the linear autonomous system of differential difference equations with delays. Some simple and practical sufficient conditions of the hyperbolic cone and the asymptotic stable cone are established.