On the necessary optimality conditions for the fractional Cucker–Smale optimal control problem

This paper develops a sparse flocking control for the fractional Cucker–Smale multi-agent model. The Caputo fractional derivative, in the equations describing the dynamics of a consensus parameter, makes it possible to take into account in the self-organization of group its history and memory depend...

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Bibliographic Details
Main Author: Almeida, Ricardo (author)
Other Authors: Kamocki, Rafał (author), Malinowska, Agnieszka B. (author), Odzijewicz, Tatiana (author)
Format: article
Language:eng
Published: 2021
Subjects:
Fractional calculus
Fractional differential systems
Flocking model
Multi-agent systems
Consensus optimal control
Online Access:http://hdl.handle.net/10773/30982
Country:Portugal
Oai:oai:ria.ua.pt:10773/30982
Description
Summary:This paper develops a sparse flocking control for the fractional Cucker–Smale multi-agent model. The Caputo fractional derivative, in the equations describing the dynamics of a consensus parameter, makes it possible to take into account in the self-organization of group its history and memory dependency. External control is designed based on necessary conditions for a local solution to the appropriate optimal control problem. Numerical simulations demonstrate the effectiveness of the control scheme.

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