Robust H∞ Synchronization of Coupled Partial Differential Systems With Spatial Coupling Delay

被引：42

作者：

Wu, Kai-Ning ^{[1
]}

Li, Chang-Xi ^{[1
]}

Chen, Bor-Sen ^{[2
]}

Yao, Yu ^{[3
]}

机构：

[1] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China

[2] Natl Tsinghua Univ, Dept Elect Engn, Hsinchu 30013, Taiwan

[3] Harbin Inst Technol, Control & Simulat Ctr, Harbin 150080, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2013年 / 60卷 / 07期

基金：

中国国家自然科学基金;

关键词：

H-infinity synchronization; linear matrix inequality (LMI); partial differential systems (PDSs); synchronization; time delay; COMPLEX DYNAMICAL NETWORKS; REACTION-DIFFUSION TERMS; OBSERVER-BASED CONTROL; CONTROL DESIGN; GLOBAL SYNCHRONIZATION; CHAOTIC SYSTEMS; NEURAL-NETWORKS; TIME DELAYS;

D O I：

10.1109/TCSII.2013.2258273

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This brief discusses the asymptotical synchronization and robust H-infinity synchronization for coupled semilinear partial differential systems (PDSs) with time-varying delay in spatial coupling. First, using the Lyapunov-Krasoviskii functional method, sufficient conditions are obtained for the asymptotical synchronization of coupled semi-linear time-delay PDSs and these conditions are presented by linear matrix inequalities (LMIs), which are easy to be solved. The effect of the spatial domain on the asymptotical synchronization of the coupled time-delay PDSs is also presented. Then the robust H-infinity synchronization is considered in temporal-spatial domain for the coupled time-delay PDSs with external disturbances. In terms of the technique of completing squares, sufficient conditions are got for the robust H-infinity synchronization of time-delay coupled PDSs. Finally, numerical examples of coupled semilinear time-delay PDSs are given to illustrate the correctness of the obtained results.

引用

页码：451 / 455

页数：5