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Existence of optimal control for an integro‐differential Bolza problem
Author(s) -
Idczak Dariusz,
Walczak Stanisław
Publication year - 2020
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.2624
Subject(s) - mathematics , optimal control , continuation , closure (psychology) , nonlinear system , type (biology) , differential (mechanical device) , selection (genetic algorithm) , mathematical analysis , control theory (sociology) , mathematical optimization , control (management) , computer science , physics , ecology , quantum mechanics , biology , programming language , thermodynamics , economics , market economy , artificial intelligence
Summary In the article, we derive an existence theorem for a Bolza problem described by a nonlinear integro‐differential system of Volterra type. We use an approach based on the lower closure theorem for orientor fields due to Cesari and measurable selection theorem of Fillipov type due to Rockafellar. Paper is a continuation of [D. Idczak, S. Walczak, Necessary optimality conditions for an integro‐differential Bolza problem via Dubovitskii‐Miljutin method , DCDS‐B 24 (5) (2019), 2281‐2292; DOI:10.3934/dcdsb.2019095].