Prespecified-Time Control of Complex Networks Coupled with Nonlinear Dynamical Systems

Abstract

The control of complex networks is a hot-spot topic in the field of complex networks. Based on Lyapunov function and matrix theory, a control scheme for complex networks coupled with nonlinear dynamical systems is presented here. Different from the existing finite-time control strategies, the settling time of our proposed scheme does not depend on initial values or the control parameters of the system, and can be given arbitrarily. In addition, the scheme is applicable to both directed and undirected networks, and connectivity is not required. Finally, two simulations are provided to confirm the feasibility of our theoretical result.