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Fixed-Time Flocking and Collision Avoidance Problem of a Cucker–Smale Model
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-21
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Multiagent systems are used in artificial intelligence, control theory, and social sciences.
In this article, we studied a Cucker–Smale model with a continuous non-Lipschitz protocol.
The methodology presented in the current paper 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 and collision avoiding when a singular communication function with a weighted sum of sign functions of the relative velocities among agents, 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.
American Psychological Association (APA)
Nie, Fen& Duan, Xiaojun. 2020. Fixed-Time Flocking and Collision Avoidance Problem of a Cucker–Smale Model. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1196493
Modern Language Association (MLA)
Nie, Fen& Duan, Xiaojun. Fixed-Time Flocking and Collision Avoidance Problem of a Cucker–Smale Model. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1196493
American Medical Association (AMA)
Nie, Fen& Duan, Xiaojun. Fixed-Time Flocking and Collision Avoidance Problem of a Cucker–Smale Model. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1196493
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196493