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- Title
Bipartite synchronization of discrete-time networks with antagonistic interactions via hybrid control.
- Authors
Zhang, Xiaomei; He, Lin; Zhou, Lei; Sheng, Suying
- Abstract
The problem of bipartite synchronization is addressed for discrete-time networks with antagonistic interactions via hybrid control with impulsive effects. Firstly, a hybrid state-feedback controller, which combines a pinning state-feedback controller and an impulsive state-feedback controller, is presented, and the criterion of the bipartite synchronization is derived by applying the average impulsive interval method. Secondly, for the case of the network states not all being measured, a hybrid measurement-feedback controller, which combines a pinning measurement-feedback controller and a pinning impulsive measurement-feedback controller, is proposed. The time-varying Lyapunov function method is utilized to design the hybrid measurement-feedback controller such that the bipartite synchronization is realized. Finally, some numerical simulations are performed to illustrate the efficiency of the proposed controller design methods.
- Subjects
SYNCHRONIZATION; LYAPUNOV functions; NEURAL circuitry; ITERATIVE learning control; COMPUTER simulation
- Publication
IMA Journal of Mathematical Control & Information, 2022, Vol 39, Issue 4, p1077
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnac022