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- Title
Synchronization analysis of drive-response multi-layer dynamical networks with additive couplings and stochastic perturbations.
- Authors
Zhuang, Jinsen; Zhou, Yan; Xia, Yonghui
- Abstract
This paper concerns the synchronization of a kind of drive-response multi-layer dynamical networks with additive couplings and stochastic perturbations. Multi-layer networks are a kind of complex networks with different layers, which consist of different kinds of interactions or multiple subnetworks. Additive couplings are designed to capture the different layered connections. In this paper, two pinning controllers are designed to guarantee the synchronization of the stochastic multi-layer network. One is the state-feedback pinning controller with constant control gains. The other one is the adaptive pinning controller with adaptive control gains. It is worthwhile to mention that our assumptions on the activation functions satisfy a generalized Lipschitzian condition which are weaker than those in the previous works. Moreover, as we prove, only selected part of the nodes to be controlled are enough to guarantee that the drive system and response network can be stochastically synchronized. Finally, an example and its simulations are presented to show the feasibility effectiveness of our control schemes.
- Subjects
SYNCHRONIZATION; ADAPTIVE control systems
- Publication
Discrete & Continuous Dynamical Systems: Series A, 2021, Vol 41, Issue 7, p1607
- ISSN
1078-0947
- Publication type
Article
- DOI
10.3934/dcdss.2020279