Local H∞ synchronization of uncertain complex networks via non-fragile state feedback control

This paper is concerned with local H∞ synchronization control of uncertain complex networks, in which there are nonlinear coupling functions between network nodes, and the coupling terms as well as network nodes are subject to time-varying delays. In order to make a complex network achieve H∞ synchronization, a non-fragile state feedback control scheme is used. By employing the Lyapunov functional method, a sufficient condition on the existence of H∞ non-fragile controllers is derived. This condition can not only guarantee the asymptotic stability of each network node, but also ensure a prescribed robust H∞ performance level for the synchronization error system under study. The effectiveness of the proposed method is finally verified through a numerical example.