Fixed-Time Flocking Problem of a Cucker–Smale Model.
- Resource Type
- Article
- Authors
- Nie, Fen; Liu, Yicheng
- Source
- Mathematical Problems in Engineering. 5/31/2020, p1-7. 7p.
- Subject
- *TIME perception
*COMPUTER simulation
- Language
- ISSN
- 1024-123X
In this paper, we studied a Cucker–Smale model with continuous non-Lipschitz protocol. The methodology presented in the current work is based on the explicit construction of a Lyapunov functional. By using the fixed-time control technology, we show that the flocking can occur in fixed time if the communication rate function is locally Lipschitz continuous and has a lower bound, and we can obtain the estimation of the converging time which is independent of the initial states of agents. Theoretical results are supported by numerical simulations. [ABSTRACT FROM AUTHOR]