具有无限延迟的半线性中性整微分系统的非凸优化控制问题

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2024-10-22 DOI:10.1016/j.jde.2024.10.018

Hai Huang , Xianlong Fu

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引用次数: 0

摘要

在这项工作中，我们利用基本解和解析算子理论，研究了具有无限延迟的半线性中性整微分方程的博尔扎最优控制问题的解的存在性。我们强调，积分代价函数和可接纳集均不需要现有文献以外的凸性条件。同时，我们还考虑了目标集时间最优控制的存在性，并通过极限论证得到了这一结果。最后，我们举例说明了主要结果的应用。

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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Nonconvex optimal control problems for semi-linear neutral integro-differential systems with infinite delay

In this work, by using the theory of fundamental solution and resolvent operators, we investigate the existence of solutions for Bolza optimal control problems for a semi-linear neutral integro-differential equation with infinite delay. It is stressed that both the integral cost functional and the admissible set do not require convexity conditions other than the existing literature. Meanwhile, the existence of time optimal control to a target set is also considered and obtained by limit arguments. Finally, we provide a example to demonstrate the applications of our main results.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics