Document Zbl 1236.49003

On the development of Pontryagin’s maximum principle in the works of A. Ya. Dubovitskii and A. A. Milyutin. (English) Zbl 1236.49003

Control Cybern. 38, No. 4, Part A, 923-957 (2009).

Summary: We give a short review of the development and generalizations of the Pontryagin Maximum Principle, provided in the studies of Dubovitskii and Milyutin in the 1960s and later years.

Cited in 21 Documents

MSC:

49-02	Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control
49K15	Optimality conditions for problems involving ordinary differential equations

Keywords:

Euler-Lagrange equation; maximum principle; classes of variations; Pontryagin minimum; state constraints; measure in adjoint equation; regular and nonregular mixed constraints; phase points; closure with respect to measure; three-storey theorem

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