Function matrix projective synchronization of non-dissipatively coupled heterogeneous systems with different-dimensional nodes

Abstract

Abstract This paper regards function matrix projective synchronization of two different non-dissipatively coupled complex dynamical networks for different dimensions and different nodes. In this kind of complex dynamical networks the internal delays are different from the coupled delays. By using Lyapunov stability theory, using mathematical induction, two different hybrid feedback controllers are built to realize the function matrix projective synchronization. Compared with the existing results, the coupling matrices do not need to be symmetric or diffuse. By giving a numerical simulation we explain the validity and appropriateness of our conclusion.

Keywords

• Function matrix projective synchronization
• Complex networks
• Hybrid feedback control
• Time-varying delays