多阶分数阶最优控制问题的最优控制存在性

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.2022.141713

R. Kamocki

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引用次数: 1

摘要

在这篇文章中，我们集中讨论了与拉格朗日代价泛函相关的具有卡普托导数的不同阶非线性分数控制系统的最优控制问题。基于定向场的下闭包定理，结合Filippov方法，我们得到了该问题至少一个最优解的存在性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Existence of optimal control for multi-order fractional optimal control problems

In this article we focus on optimal control problems involving a nonlinear fractional control system of diﬀerent orders with Caputo derivatives, associated to a Lagrange cost functional. Based on a lower closure theorem for orientor ﬁelds combined with Filippov’s approach, we derive an existence result for at least one optimal solution for such a problem.

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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.