On the existence of optimal consensus control for the fractional Cucker–Smale model

IF 1.2 4区计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS

Archives of Control Sciences Pub Date : 2023-07-20 DOI:10.24425/acs.2020.135844

R. Almeida, R. Kamocki, A. Malinowska, T. Odzijewicz

引用次数: 5

Abstract

This paper addresses the nonlinear Cucker–Smale optimal control problem under the interplay of memory eﬀect. The aforementioned eﬀect is included by employing the Caputo fractional derivative in the equation representing the velocity of agents. Suﬃcient conditions for the existence of solutions to the considered problem are proved and the analysis of some particular problems is illustrated by two numerical examples.

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分数阶cucker - small模型最优一致性控制的存在性

研究了记忆效应相互作用下的非线性cucker - small最优控制问题。通过在表示介质速度的方程中采用卡普托分数阶导数来包括上述效应。证明了所考虑问题解存在的充分条件，并通过两个数值算例说明了对某些特殊问题的分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Archives of Control Sciences Mathematics-Modeling and Simulation

CiteScore

2.40

自引率

33.30%

发文量

审稿时长

14 weeks

期刊介绍： Archives of Control Sciences welcomes for consideration papers on topics of significance in broadly understood control science and related areas, including: basic control theory, optimal control, optimization methods, control of complex systems, mathematical modeling of dynamic and control systems, expert and decision support systems and diverse methods of knowledge modelling and representing uncertainty (by stochastic, set-valued, fuzzy or rough set methods, etc.), robotics and flexible manufacturing systems. Related areas that are covered include information technology, parallel and distributed computations, neural networks and mathematical biomedicine, mathematical economics, applied game theory, financial engineering, business informatics and other similar fields.