H_∞ Synchronization Control in Nonlinear Time-Delay Complex Dynamical Network

摘要

On the basis of Lyapunov stability theory and LMI technique, this paper investigates H_∞ synchronization control of time-varying synchronization state in general complex networks with time-delay and external disturbances. H_∞ synchronization controllers have been designed for nodes of controlled network and the H_∞ control law for asymptotically(exponentially) synchronization are derived via defining an appropriate controlled output. Besides, under the desired H_ performance index, the control criteria which guarantee complex networks synchronization with a time-varying state are revealed by LMI. Finally, a simulation example is given to demonstrate the effectiveness of the theoretical results.