Synchronization criteria in complex dynamical networks with nonsymmetric coupling and multiple time-varying delays
Jin-Liang Wang, Zhichun Yang, Tingwen Huang, Mingqing Xiao · Applicable Analysis · 2011
In this article, we consider a generalized complex dynamical network model with nonsymmetric coupling, and the dynamics of each node has a different time-varying delay. Criteria of exponential synchronization are derived in terms of linear matrix inequalities for the model by constructing suitable Lyapunov functionals. The obtained outcomes are different from those in the current literature, in which the complex dynamical networks are coupling symmetrically and delays are fixed constants. Moreover, the given sufficient conditions extend current available results and are verifiable. A numerical example is provided to illustrate the efficiency of the derived outcome.