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Existence in optimal control problems of certain Fredholm integral equations
- 1.0410756 - UTIA-B 20010225 RIV PL eng J - Journal Article
Roubíček, Tomáš - Schmidt, W. H.
Existence in optimal control problems of certain Fredholm integral equations.
Control and Cybernetics. Roč. 30, č. 3 (2001), s. 303-322. ISSN 0324-8569
R&D Projects: GA AV ČR IAA1075005; GA ČR GA201/00/0768; GA MŠMT 11320007
Institutional research plan: AV0Z1075907
Keywords : optimal control * integral equation * Young measures
Subject RIV: BA - General Mathematics
Impact factor: 0.154, year: 2001
Existence of an optimal control for certain systems governed by nonlinear Fredholm integral equations that are of a Hammerstein type with respect to the control is proved under convexity of the orientor field by using a relaxed problem. Then, this convexity assumption is put away by finer analysis of the maximum principle. Illustrative examples are presented.
Permanent Link: http://hdl.handle.net/11104/0130844
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