Global Synchronization for General Delayed Dynamical Networks
Jianhua Xu, Zengrong Liu, Xiao Chang · 2009
Abstract In this paper, the problem of global synchronization for a class of general delayed dynamical networks with non-symmetric coupling is dealt with. The approach taken in the paper is to estimate the error state variable between any two models of the networks directly. By using a Lyapunov-Krasovskii function and comparison theorem, some simple and efficient criteria for the stability of synchronization manifold are derived. It should be pointed out that no matrix diagonalization technique or Kronecker product is involved through derivation of all the synchronization criteria.