New Synchronization Stability of Complex Networks With an Interval Time-Varying Coupling Delay
Zhongyang Fei, Huijun Gao, Wei Xing Zheng · IEEE Transactions on Circuits & Systems II Express Briefs · 2009
In this brief, the problem of synchronization stability analysis for complex dynamical networks with a time-varying coupling delay is studied. The delay considered in this brief is assumed to vary over an interval where the lower and upper bounds are known. By dividing the interval time-varying delay into a constant and a time-varying part and using a delay-partitioning approach, a new Lyapunov-Krasovskii functional is constructed. Based on this, a new delay-range-dependent criterion is obtained in terms of linear matrix inequalities. A numerical example is provided to show the effectiveness of the proposed results.