Yuan Shen , Applied Mathematics, University of Waterloo
Impulsive synchronization of general complex-valued dynamical networks
Complex dynamical networks exist in all fields of sciences and humanities, and have been intensively studied over the past decades. Common examples include Internet, food webs, social networks, neural networks etc. One of the significant phenomena in networks is known as synchronization. Several control schemes have been introduced to realize network synchronization, such as impulse control, adaptive control, pinning control etc. Among these approaches, impulsive control method is effective and relatively easily realized. It allows synchronization of a network by small impulse signals being sent to the receive systems at certain impulsive moments, which can reduce the information redundancy in the transmitted signal and improve the security against the disturbance. Our objective is to study the collective behavior of complex-valued complex dynamical networks. In this talk, we’ll introduce the basic concepts of complex networks and discuss our research progress on synchronization criteria with impulsive control for the complex-valued dynamical networks with/without time delay. Then we’ll propose some problems for future works.