Robust H ∞ synchronization of coupled delay partial differential systems on complex dynamical networks
Kai‐Ning Wu, Shen Wen-jin, Yu Yao · Chinese Control Conference · 2013
This paper considers the asymptotical synchronization and robust H∞ synchronization for coupled time-varying delay partial differential systems (PDSs) on complex dynamical networks. Both time-varying delay in the coupling and in the dynamical nodes are investigated. Making use of the Lyapunov-Krasoviskii functional method, sufficient conditions are obtained which guarantee the asymptotical synchronization and robust H∞ synchronization of coupled time-varying delay PDSs, respectively. Finally, numerical simulations are presented to illustrate the correctness of the results.