Synchronization for discrete-time complex dynamical networks with time-varying delays
A class of complex dynamical networks with time-varying coupling delays is proposed. By some transformation, the synchronization problem of the complex networks is transferred equally into the asymptotical stability problem of a group of uncorrelated delay functional differential equations. The delays considered in this paper are assumed to vary in an interval, where the lower and upper bounds are known. The free weighting matrices are employed to deal with cross product items, and the convexity of the matrix function is fully utilized in our proof, the sufficient condition for delay-dependent asymptotical synchronization stability is derived in the form of linear matrix inequalities. Numerical examples are given to illustrate the theoretical results.
Complex dynamical networks Synchronization Asymptotical stability Time-varying delay Linear matrix inequality(LMI)
Hongjie Li
College of Mathematics and Information Engineering, Jiaxing University, Jiaxing Zhejiang 314001
国际会议
The 22nd China Control and Decision Conference(2010年中国控制与决策会议)
徐州
英文
2550-2555
2010-05-26（万方平台首次上网日期，不代表论文的发表时间）