Wyniki wyszukiwania - BazTech

Ograniczanie wyników

3 Control and Cybernetics

3 Dmitruk A. V.

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

On the development of Pontryagin's Maximum Principle in the works of A.Ya. Dubovitskii and A.A. Milyutin

Dmitruk A. V.

Control and Cybernetics

2009

Vol. 38, no 4A

923-957

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.

Jacobi type conditions for singular extremals

Dmitruk A. V.

Control and Cybernetics

2008

Vol. 37, no 2

285-306

We consider the class of optimal control problems linear in the control, and study a singular extremal. If the Lagrange multipliers are unique, the quadratic order optimality conditions have the form of sign definiteness of a quadratic functional (the second variation of Lagrange function) with totally zero Legendre coefficient. Using the Goh transformation, we convert it to a functional possibly satisfying the strengthened Legendre condition, involving also an additional parameter, and by applying the Hestenes approach, determine its sign definiteness in terms of the conjugate point, i.e. give Jacobi type conditions.

On a nonlocal metric regularity of nonlinear operators

Dmitruk A. V.

Control and Cybernetics

2005

Vol. 34, no 3

723-746

We consider some versions and generalizations of the classical Lyusternik theorem on the covering property (metric regularity) of nonlinear mappings, study some related properties, and propose nonlocal theorems of the given type, which then are used in the proof of a relaxation theorem for a nonlinear control system with sliding modes and terminal equality constraints.