1. Tracking control of the nodes for the complex dynamical network with the auxiliary links dynamics.
- Author
-
Gao, Peitao, Wang, Yinhe, Peng, Yi, Zhang, LiLi, and Li, Shengping
- Subjects
- *
DIFFERENTIAL equations , *COMPUTER simulation , *SIGNALS & signaling - Abstract
A complex dynamical network (CDN) can be considered as the composition system with the nodes subsystem (NS) and the links subsystem (LS), and both subsystems are coupled with each other. Therefore, the dynamics of NS affects the dynamics of LS, and vice versa. In this paper, two vector differential equation (VDE)s are employed to describe the dynamics of NS and LS, respectively, in which the dynamics of NS is proposed as the VDE with the second derivative term (SDT) for more realistic engineering applications. Compared with the existing literature, the key advantage is that the dynamics of links is utilized to assist synthesizing the tracking controller of NS. The results show that when the state of LS tracks asymptotically the synthesized auxiliary tracking goal (ATG), the state of NS tracks asymptotically the given reference signal. Observing the eventual topology of CDN, all eventual links between nodes depend on the proposed ATG when NS achieving the tracking target, in which one special case is that if all target signals determined by ATG are not zero, all nodes are not isolated. Finally, the effectiveness of the proposed control scheme is verified by a numerical simulation example. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF