Further results on mixed H∞ and passive sampled-data synchronization of complex dynamical networks via looped-functional approach

Abstract

This paper investigates the issue of $H_{\infty}$ and passive sampled-data synchronization of delayed complex dynamical networks. By taking more information about r(tk) and r($t_{k+1}$) into account, which has contribution to decrease the conservatism of stability condition, a novel Lyapunov-Krasovskii looped-functional is constructed. Then, we design a $H_{\infty}$ and passive sampled-data controller for complex dynamical networks. Finally, the feasibility and superiority of our method are proved by several numerical and simulation examples.