Distributed adaptive control of pinning synchronization in complex dynamical networks with non-delayed and delayed coupling

This paper discusses the distributed adaptive control schemes for pinning synchronization in complex dynamical network with non-delayed and delayed coupling. An effective distributed adaptive strategy to adjust simultaneously coupling strength and feedback gains is designed based on information of the non-delayed network’s configuration. For a special case where the information of delay is available, a distributed adaptive scheme to tune the coupling weights of non-delayed coupling network is proposed by using the delayed feedback controllers. Based on the small-world network and scalefree network, simulation examples are given to demonstrate the effectiveness of theoretical analysis.