Fixed-Time Flocking Problem of a Cucker–Smale Model

Fen Nie and Yicheng Liu

Mathematical Problems in Engineering, 2020, vol. 2020, 1-7

Abstract:

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:7319608

DOI: 10.1155/2020/7319608

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