On a Few Questions Regarding the Study of State-Constrained Problems in Optimal Control

Dmitry Karamzin () and Fernando Lobo Pereira ()
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Dmitry Karamzin: Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
Fernando Lobo Pereira: University of Porto

Journal of Optimization Theory and Applications, 2019, vol. 180, issue 1, No 13, 235-255

Abstract: Abstract The article is focused on the investigation of the necessary optimality conditions in the form of Pontryagin’s maximum principle for optimal control problems with state constraints. A number of results on this topic, which refine the existing ones, are presented. These results concern the nondegenerate maximum principle under weakened controllability assumptions and also the continuity of the measure Lagrange multiplier.

Keywords: Optimal control; Maximum principle; State constraints; 49N25 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-018-1394-2

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