Robust synchronization of uncertain complex systems with time-varying delays
来源期刊：中南大学学报(英文版)2015年第2期
论文作者：LI Hai-long(李海龙) XI Jian-xiang(席建祥) LI Hui(李卉) CAO Yao-qing(曹耀钦)
文章页码：584 - 592
Key words：synchronization; complex system; uncertainty; time delay; dynamic output feedback
Abstract: Synchronization analysis and design problems for uncertain time-delayed high-order complex systems with dynamic output feedback synchronization protocols are investigated. By stating projection on the synchronization subspace and the complement synchronization subspace, synchronization problems are transformed into simultaneous stabilization problems of multiple subsystems related to eigenvalues of the Laplacian matrix of the interaction topology of a complex system. In terms of linear matrix inequalities (LMIs), sufficient conditions for robust synchronization are presented, which include only five LMI constraints. By the changing variable method, sufficient conditions for robust synchronization in terms of LMIs and matrix equalities are given, which can be checked by the cone complementarily linearization approach. The effectiveness of theoretical results is shown by numerical examples.
LI Hai-long(李海龙), XI Jian-xiang(席建祥), LI Hui(李卉), CAO Yao-qing(曹耀钦)
(Xi’an Research Institute of High-tech, Xi’an 710025, China)
Abstract:Synchronization analysis and design problems for uncertain time-delayed high-order complex systems with dynamic output feedback synchronization protocols are investigated. By stating projection on the synchronization subspace and the complement synchronization subspace, synchronization problems are transformed into simultaneous stabilization problems of multiple subsystems related to eigenvalues of the Laplacian matrix of the interaction topology of a complex system. In terms of linear matrix inequalities (LMIs), sufficient conditions for robust synchronization are presented, which include only five LMI constraints. By the changing variable method, sufficient conditions for robust synchronization in terms of LMIs and matrix equalities are given, which can be checked by the cone complementarily linearization approach. The effectiveness of theoretical results is shown by numerical examples.
Key words:synchronization; complex system; uncertainty; time delay; dynamic output feedback
