Linear Generalized outer Synchronization Between Two Different Complex Dynamical Networks with Noise Perturbation
Cao Long, Ying Ma · 2012
This paper mainly studies the linear generalized outer synchronization between two delay-coupled complex networks, which have diverse node dynamics and different topological structures. Real systems are often subject to noise perturbation, so we take into account the stochastic effects in the networks, and the node dynamic need not satisfy the very strong and conservative uniformly Lipschitz condition. With a nonlinear control scheme, a sufficient synchronization criterion is derived. Furthermore, theoretical proofs are proposed on the basics of LaSalle-type invariance principle for stochastic differentical equation. Numerical simulations are also presented to show the feasibility and effectiveness of the theoretical results.