Periodic solutions for feedback control coupled systems on networks. (English) Zbl 1508.34044
In this paper, authors study the existence of periodic solutions for feedback control coupled systems on networks (FCCSNs) via the continuation theorem of coincidence degree theory, graph theory, Lyapunov method, and some analysis skills. They obtain the existence and global asymptotic stability of periodic solutions for feedback control coupled oscillators on networks. Some numerical simulations are also given to illustrate the effectiveness and feasibility of main results.
Reviewer: Yong-Kui Chang (Xi’an)
MSC:
| 34C25 | Periodic solutions to ordinary differential equations |
| 34H05 | Control problems involving ordinary differential equations |
| 34D23 | Global stability of solutions to ordinary differential equations |
| 93B52 | Feedback control |
| 47N20 | Applications of operator theory to differential and integral equations |
| 05C20 | Directed graphs (digraphs), tournaments |
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