Generalized Maximum Principle in Optimal Controlстатья
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Дата последнего поиска статьи во внешних источниках: 21 февраля 2019 г.
Аннотация:For an optimal control problem, the concept of local infimum is introduce, for which necessary conditions consisting of some family of ``maximum principles'' are formulated. If a function delivers a local minimum in this problem (and therefore, a strong infimum), then this family contains the classical Pontryagin maximum principle. As a corollary, we derive generalized necessary conditions for a strong minimum for a problem of the calculus of variations. Examples are given to show that the necessary conditions obtained in the present paper generalize and strengthen classical results.