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

Advances in Difference Equations

Xiangyan Zeng¹  Xin Wang²  Yanchao Shi³  Yang Cao⁴ 

[1] 0000 0001 0807 124X, grid.440723.6, School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, China;0000 0004 0369 4060, grid.54549.39, School of Information and Software Engineering, University of Electronic Science and Technology of China, Chengdu, China;0000 0004 0644 5828, grid.437806.e, School of Sciences, Southwest Petroleum University, Chengdu, China;0000000121742757, grid.194645.b, Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, China;

关键词: Function matrix projective synchronization;    Complex networks;    Hybrid feedback control;    Time-varying delays;   

DOI  :  10.1186/s13662-019-1984-9

来源: publisher

【 摘 要 】

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.

【 授权许可】

CC BY