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- W1904520164 abstract "We investigate conditions of optimality for the infinite horizon control problem and consider their correspondence with the value function. In particular, the sensitivity relations hold if the value function exists, is finite and Lipschitz continuous. As a consequence, Lipschitz continuity of the value function implies the normal form version of the Pontryagin Maximum Principle as a necessary condition of optimality. Different conceptions of optimality are considered, including those proposed by D.Bogusz, the conceptions of almost strong optimality and classical optimality. For weakly agreeable optimal controls we obtain the necessary and sufficient conditions of optimality. The proofs are obtained by transferring the results of P.Cannarsa and H.Frankowska onto the infinite horizon control problem." @default.
- W1904520164 created "2016-06-24" @default.
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- W1904520164 date "2015-08-27" @default.
- W1904520164 modified "2023-09-27" @default.
- W1904520164 title "Necessary conditions in terms of value functions for infinite horizon problem" @default.
- W1904520164 hasPublicationYear "2015" @default.
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