Title :
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
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;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6897072
