Title :
Robust H∞ synchronization of coupled delay partial differential systems on complex dynamical networks
Author :
Wu Kai-Ning ; Shen Wen-Jing ; Yao Yu
Author_Institution :
Dept. of Math., Harbin Inst. of Technol. at Weihai, Harbin, China
Abstract :
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.
Keywords :
H∞ control; Lyapunov methods; delays; large-scale systems; numerical analysis; partial differential equations; synchronisation; time-varying systems; Lyapunov-Krasoviskii functional method; PDS; asymptotical synchronization; complex dynamical networks; coupled delay partial differential systems; coupled time-varying delay partial differential systems; dynamical nodes; numerical simulations; robust H∞ synchronization; Attenuation; Complex networks; Couplings; Delay effects; Delays; Robustness; Synchronization; Delay; Lyapunov-Krasoviskii functional; Partial differential systems; Robust H∞ synchronization; Synchronization;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
