New delay-dependent synchronization criterion for complex dynamical networks with coupling delays
Degang Yang, Chunyan Hu · 2008
Synchronization stability in complex dynamical networks with coupling delays is investigated. Nonlinear complex network system is transformed to linear system. A new criterion for global synchronization stability for the complex networks with coupling delays has been derived using an approach combining the Lyapunov-Krasovskii functional with LMI techniques. The results are related to the size of delays. It has been illustrated that the proposed result generalizes and improves those reported in the literature. A numerical simulation is also given to illustrate the validity of our result.