A synchronization criterion for dynamical networks with non-identical nodes and switching topology
Jun Yan Zhao · Control theory & applications · 2013
Network topology and node dynamics play a key role in forming synchronization of complex networks.Unfortunately there is no effective synchronization criterion for dynamical networks with non-identical nodes and switching topology.This paper studies the synchronization problem of a complex network with non-identical nodes and switching connection topology.Considering the general case where no common equilibrium solution is assumed to exist,we select the average state of all nodes as the target of synchronization and establish the dynamical error equations.Under the condition of simultaneous triangularization of the outer connection matrices,a common Lyapunov function is constructed by those of several lower dimensional dynamic systems,a global synchronization criterion in the sense of boundedness of the maximum state deviation between the nodes is proposed under arbitrary switching topology.Finally,numerical simulations are provided to show the effectiveness of the results.