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Optimal control problem for some integrodifferential equations in Banach spaces
Author(s) -
Diallo Mouhamadou Alpha,
Ezzinbi Khalil,
Sène Abdoulaye
Publication year - 2017
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2359
Subject(s) - banach space , mathematics , optimal control , stability (learning theory) , set (abstract data type) , control (management) , space (punctuation) , work (physics) , baire category theorem , mathematical analysis , pure mathematics , baire space , mathematical optimization , computer science , physics , machine learning , artificial intelligence , thermodynamics , programming language , operating system
Summary 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.