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.
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页码：563 / 574
页数：12
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