Pinning synchronization for a class of complex dynamical networks with heterogeneous delays
Liu Xiaoping · Kongzhi yu juece · 2010
A class of weighted complex dynamical network model with heterogeneous delays is introduced,where each node is a general Lur'e system.Then its synchronization phenomena is investigated by applying feedback injections to a small fraction of nodes in the whole network.Based on the absolute stability theory,a delay-independent criterion ensuring the global synchronization of the whole network is derived.A dynamical network composed of identical Chua's oscillators is adopted as a numerical example to demonstrate the effectiveness of the proposed results.It is also shown that in some particular cases,only a single controller can achieve the control objective.