|
|||||
|
|
Generalized projective synchronization between two different general complex dynamical networks with delayed coupling |
|
| Authors: | Xiangjun Wu Hongtao Lu |
| Institution: | a Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China b Institute of Complex Intelligent Network System, Henan University, Kaifeng 475004, PR China c Computing Center, Henan University, Kaifeng 475004, PR China |
| Abstract: | In this Letter, generalized projective synchronization (GPS) between two different complex dynamical networks with delayed coupling is investigated. Two complex networks are distinct if they have diverse node dynamics, or different number of nodes, or different topological structures. By using the adaptive control scheme, a sufficient synchronization criterion for this GPS is derived based on the LaSalle invariance principle. Three corollaries are also obtained. It is noticed that the synchronization speed sensitively depends on the adjustable positive constants μi. Furthermore, the coupling configuration matrix is not necessary to be symmetric or irreducible, and the inner coupling matrix need not be symmetric. In addition, the node dynamic need not satisfy the very strong and conservative uniformly Lipschitz condition. Numerical simulations further demonstrate the feasibility and effectiveness of the theoretical results. |
| Keywords: | Generalized projective synchronization (GPS) Complex network Time delay LaSalle invariance principle Adaptive control |
| 本文献已被 ScienceDirect 等数据库收录！ | |