Robust H_∞ Synchronization of a Class of Complex Dynamical Networks
Yuanwei Jing · Fuza xitong yu fuzaxing kexue · 2011
This paper deals with the problem of robustH∞synchronization for a class of complex dynamical networks.Each node of the network is a general Lur'e system subject to an energy bounded input noise.Based on the Lyapunov stability theory,a synchronization criterion formulated in the form of linear matrix inequalities(LMIs) is obtained under which the controlled network can be robustly stabilized onto an expected homogeneous state with a guaranteedH∞performance.The controller designed can be constructed via feasible solutions of LMIs.Finally,a dynamical network composed of identical Chua's oscillators is adopted as a numerical example to demonstrate the effectiveness of the proposed results.