LMI Based Guaranteed Cost Synchronization for Nonlinear Complex Dynamical Networks with Similar Nodes and Coupling Time-varying Delay

摘要

This paper researched the stability and synchro-nization for the nonlinear coupled complex networks with a term of smooth nonlinear function, and its nodes have different dimensions. Because nodes in such complex networks contain similar behaviors, by defining the manifold of synchronization of the complex dynamical networks, a decentralized controllers with similar parameter characteristics and information is designed to ensure the synchronization of the system under the Lyapunov stability theorem. LMI based state feedback solution is proposed and upper bound of control function for guaranteed cost is figured out. Finally, the feasibility of the above theory is verified by numerical simulation.