Delay-Dependent Synchronization forComplex Dynamical Networks with Interval Time-Varying and Switched Coupling Delays

[摘要] We investigate the local exponential synchronization for complex dynamical networks withinterval time-varying delays in the dynamical nodes and the switched coupling term simultaneously. Theconstraint on the derivative of the time-varying delay is not required which allows the time delay to bea fast time-varying function. By using common unitary matrix for different subnetworks, the problem ofsynchronization is transformed into the stability analysis of some linear switched delay systems. Then, whensubnetworks are synchronizable and nonsynchronizable, a delay-dependent sufficient condition is derivedand formulated in the form of linear matrix inequalities (LMIs) by average dwell time approach and piecewiseLyapunov-Krasovskii functionals which are constructed based on the descriptor model of the system and themethod of decomposition. The new stability condition is less conservative and is more general than someexisting results. A numerical example is also given to illustrate the effectiveness of the proposed method.

[学科分类] 应用数学