On the Asymptotic Stability of Directed Nonlinear Multiagent Network via Nonlinear Control Protocol
| Autor: | Quanyi Liang, Chong Jin Ong, Zhikun She |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Lyapunov function
0209 industrial biotechnology Computer science 020208 electrical & electronic engineering 02 engineering and technology Construct (python library) Nonlinear control Computer Science::Multiagent Systems Nonlinear system symbols.namesake 020901 industrial engineering & automation Exponential stability Control and Systems Engineering Control theory Stability theory 0202 electrical engineering electronic engineering information engineering symbols Protocol (object-oriented programming) |
| Zdroj: | IFAC-PapersOnLine. 53:2933-2937 |
| ISSN: | 2405-8963 |
| DOI: | 10.1016/j.ifacol.2020.12.968 |
| Popis: | In this paper, we investigate the asymptotic stability of nonlinear agents in a directed network using a nonlinear protocol. Inspired by the V-uniformly decreasing condition, we introduce a new condition to characterize the nonlinearity of the agents, and use it to design the distributed nonlinear control protocol for the agents. Under certain conditions, we construct proper Lyapunov function to show that the agents can achieve asymptotic stability via our nonlinear control protocol. Especially, if there exist agents that are asymptotically stable, then the multiagent network must be asymptotically stable as long as the control strengths of unstable agents are large enough. Finally, an example is given to illustrate the effectiveness of our theoretical results. |
| Databáze: | OpenAIRE |
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