Optimal Control of Nonlinear Fredholm Integral Equations

T. Roubíček
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T. Roubíček: Charles University, Prague, and Institute of Information Theory and Automation, Academy of Sciences

Journal of Optimization Theory and Applications, 1998, vol. 97, issue 3, No 9, 707-729

Abstract: Abstract Optimal control problems with nonlinear equations usually do not possess optimal solutions, so that their natural (i.e., continuous) extension (relaxation) must be done. The relaxed problem may also serve to derive first-order necessary optimality condition in the form of the Pontryagin maximum principle. This is done here for nonlinear Fredholm integral equations and problems coercive in an L p-space of controls with p

Keywords: Nonlinear integral equations; optimal control in L p-spaces; relaxation; existence; stability; nonconcentration; optimality conditions; Pontryagin maximum principle (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1023/A:1022650427993

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