Second-order problems involving time-dependent subdifferential operators and application to control

IF 1 4区数学 Q1 MATHEMATICS

Mathematical Control and Related Fields Pub Date : 2022-01-01 DOI:10.3934/mcrf.2022019

S. Saïdi, Fatima Fennour

引用次数: 0

Abstract

The paper provides a new result concerning the existence of solutions for second-order evolution problems associated with time-dependent subdifferential operators involving both single-valued and mixed semi-continuous set-valued perturbations. Optimal control problems corresponding to such differential inclusions using relaxation theorems with Young measures are investigated. The existence of solutions for a coupled system governed by a second-order differential equation with an evolution problem is also addressed.

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涉及时变子微分算子的二阶问题及其控制应用

本文给出了涉及单值和混合半连续集值扰动的含时微分算子的二阶演化问题解的存在性的一个新结果。利用带Young测度的松弛定理研究了这类微分包含的最优控制问题。讨论了一类具有演化问题的二阶微分方程耦合系统解的存在性。

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

Mathematical Control and Related Fields MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

8.30%

发文量

期刊介绍： MCRF aims to publish original research as well as expository papers on mathematical control theory and related fields. The goal is to provide a complete and reliable source of mathematical methods and results in this field. The journal will also accept papers from some related fields such as differential equations, functional analysis, probability theory and stochastic analysis, inverse problems, optimization, numerical computation, mathematical finance, information theory, game theory, system theory, etc., provided that they have some intrinsic connections with control theory.