Exponential synchronization of complex networks with Markovian jump and mixed delays
作者： Yurong Liu , Zidong Wang , Xiaohui Liu
DOI: 10.1016/J.PHYSLETA.2008.02.085
关键词:
摘要: In this Letter, we investigate the exponential synchronization problem for an array of N linearly coupled complex networks with Markovian jump and mixed time-delays. The network consists m modes switches from one mode to another according a chain known transition probability. time-delays are composed discrete distributed delays, both which mode-dependent. nonlinearities imbedded assumed satisfy sector condition that is more general than commonly used Lipschitz condition. By making use Kronecker product stochastic analysis tool, propose novel Lyapunov–Krasovskii functional suitable handling delays then show addressed solvable if set linear matrix inequalities (LMIs) feasible. Therefore, unified LMI approach developed establish sufficient conditions be globally exponentially synchronized in mean square. Note LMIs can easily solved by using Matlab toolbox no tuning parameters required. A simulation example provided demonstrate usefulness main results obtained.
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