On a few questions regarding the study of state-constrained problems in optimal control. (English) Zbl 1412.49046
Authors’ 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.
Reviewer: Hector Jasso (México D. F.)
MSC:
| 49K15 | Optimality conditions for problems involving ordinary differential equations |
| 93B05 | Controllability |
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