The pinning adaptive synchronization of a complex network with time-varying delay
GONG Chang-zhong
ZHANG Yu
Abstract：Based on the containment control theory, the pinning adaptive synchronization of a complex net-work with node-coupled time-varying is deliberated in this thesis.First, the general dynamic models of com-plex networks is described by nonlinear coupled ordinary differential equations.Besides, the necessary defini-tions, assumptions and lemma are given.And then, on the basis of Lyapunov stability and Pinning adaptive theo-ry, a simple and appropriate adaptive controller is designed, which allowed by some nodes contain controls to a-chieve all nodes of complex networks get to their harmonious states, and sufficient conditions is also given asymp-totic network synchronization.At last, numerical simulations are put forwarded to check the significance and ef-fectiveness of the theory.
Keywords：pinning controltime-varying delayadaptive synchronization
Publication Date：2014-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 336-341 )