Stabilizing A Class of Dynamical Complex Networks Based on Decentralized Control

This paper is concerned with a stabilization problem for a class of dynamical complex networks with each node being a general Lur´e system. By using some results of absolute stability theory and a special decentralized control strategy, we address the problem of designing a linear feedback controller such that states of all nodes are globally stabilized onto an expected homogeneous state. A controller design method based on parameter-dependent Lyapunov function is proposed in order to reduce the conservativeness and the controller can be constructed via feasible solutions of a certain set of linear matrix inequalities (LMIs). A network composed of identical Chua´s circuits is adopted as a numerical example to demonstrate the effectiveness of the proposed results.