RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Izv. Vyssh. Uchebn. Zaved. Mat.: Year: Volume: Issue: Page: Find

 Izv. Vyssh. Uchebn. Zaved. Mat., 2008, Number 7, Pages 45–56 (Mi ivm1651)

Sequential differentiation and its applications in optimal control problems

S. Ya. Serovaĭskiĭ

Kazakh National University, Almaty, Republic of Kazakhstan

Abstract: Using the sequential approach, we define a certain generalization of the operator derivative. We establish the necessary extremum condition in terms of the sequential derivative. As examples we consider the optimal control problems for systems governed by partial nonlinear differential equations of several kinds.

Keywords: operator differentiation, sequential approach, optimality conditions.

Full text: PDF file (219 kB)
References: PDF file   HTML file

English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, 52:7, 38–47

Bibliographic databases:

UDC: 571.98

Citation: S. Ya. Serovaǐskiǐ, “Sequential differentiation and its applications in optimal control problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 7, 45–56; Russian Math. (Iz. VUZ), 52:7 (2008), 38–47

Citation in format AMSBIB
\Bibitem{Ser08} \by S.~Ya.~Serova{\v\i}ski{\v\i} \paper Sequential differentiation and its applications in optimal control problems \jour Izv. Vyssh. Uchebn. Zaved. Mat. \yr 2008 \issue 7 \pages 45--56 \mathnet{http://mi.mathnet.ru/ivm1651} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2467445} \zmath{https://zbmath.org/?q=an:1180.49016} \transl \jour Russian Math. (Iz. VUZ) \yr 2008 \vol 52 \issue 7 \pages 38--47 \crossref{https://doi.org/10.3103/S1066369X08070062}