Synchronization of Complex Networks Case

This chapter gives the \(H_{\infty }\) synchronization problem for singularly perturbed complex networks. Markov chains are used to regulate the switching random properties of the system. A mode-dependent synchronous controller is adopted, and relevant criteria are applied to make the system achieve stochastic stability and meet the \(H_{\infty }\) performance. Finally, the feasibility of the proposed method is verified by numerical examples.