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

fYear

2013

Firstpage

1158

Lastpage

1163

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2013 32nd Chinese

Conference_Location

Xi´an

Type

conf

Filename

6639602