Adaptive synchronization of complex dynamical networks with bounded delay feedback controller

This paper is concerned with adaptive synchronization of the general complex dynamical network with bounded delay feedback controller in finite-time. Different from the existing related results, the design of feedback controller is always bounded. First, an effective criterion is derived to realize synchronization of complex dynamical networks with general bounded delay controller in finite-time, since it is difficult to implement in practical applications, adaptive delay bounded feedback controller is proposed to compensate this defect, and adaptive time-varying delay bounded feedback controller is also be discussed. Finally, a numerical example is provided to verify the theoretical results established in this paper.