Two Adaptive Synchronization Strategies of Complex Dynamical Networks
Xu Dongyao · Journal of Yili Normal University · 2012
In this paper,we present two novel adaptive synchronization strategies of complex dynamical networks,whose the adaptive gains are one-dimensional function and n-dimensional function at the network nodes respectively.Time-varying adaptive gains are dependent on the output of neighboring nodes and the local synchronization error at each vertex in the network.When the norm of dynamical system Jacobian is bounded,two the adaptive strategies can synchronize asymptotically.The asymptotic stability of the synchronization is proven for two strategies by using Lyapunov-based techniques.Two numerical simulations show the effectiveness of two adaptive strategies of a free-scale complex network with 100 nodes.