Optimal control problem for some integrodifferential equations in Banach spaces

被引：8

作者：

Diallo, Mouhamadou Alpha ^{[1
]}

Ezzinbi, Khalil ^{[2
]}

Sene, Abdoulaye ^{[1
]}

机构：

[1] Univ Cheikh Anta Diop, Fac Sci & Tech, Dept Math & Informat, UMMISCO,UMI 209, Dakar, Senegal

[2] Univ Cadi Ayyad, Fac Sci Semlalia, Dept Math, Marrakech, Morocco

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2018年 / 39卷 / 02期

关键词：

essential solutions; integrodifferential equations; optimal control problem; resolvent operators; set-valued mapping; stability; NONLINEAR OPTIMAL-CONTROL; STABILITY ANALYSIS; DIFFERENTIAL-EQUATIONS; EXISTENCE; INCLUSIONS;

D O I：

10.1002/oca.2359

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this work, we study the existence and stability of solutions for an optimal control problem governed by an integrodifferential equation with compact control set in the space L-1([0,b];X). The stability results, in the sense of Baire category theory, for optimal control problems are obtained by the theory of set-valued mapping and the notion of essential solutions for optimal control problems.

引用

页码：563 / 574

页数：12

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