Mean square H− synchronization of coupled nonlinear delay stochastic partial differential systems

Author

Kai-Ning Wu ; Ya-Nan Zhu ; Hui Liu ; Yu Yao

Author_Institution

Dept. of Math., Harbin Inst. of Technol. at Weihai, Weihai, China

fYear

2014

fDate

28-30 July 2014

Firstpage

2745

Lastpage

2750

Abstract

This paper considers the synchronization problem for the coupled nonlinear delay stochastic partial differential systems (SPDSs), both mean square asymptotical synchronization and mean square H_- synchronization are studied. Making use of the Lyapunov-Krasoviskii functional method and Itö formula, sufficient conditions are derived which guarantee the mean square asymptotical synchronization of the coupled nonlinear delay SPDSs. When the external disturbances appear in the coupled nonlinear delay SPDSs, the mean square H_- synchronization is dealt with and sufficient criterion is provided. Finally, numerical examples are given to illustrate the correctness of our results.

Keywords

H^∞ control; Lyapunov methods; delays; nonlinear systems; stochastic systems; synchronisation; Itö formula; Lyapunov-Krasoviskii functional method; coupled nonlinear delay SPDS; coupled nonlinear delay stochastic partial differential systems; mean square H_∞ synchronization problem; mean square asymptotical synchronization; Boundary conditions; Delays; Electronic mail; Linear matrix inequalities; Neural networks; Synchronization; White noise; H− synchronization; Lyapunove-Krosaviskii functional; Stochastic partial differential systems; delay; mean square asymptotical synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6897072

Filename

6897072