Szczegóły publikacji
Opis bibliograficzny
Sensitivity analysis of time delay parabolic-hyperbolic optimal control problems with boundary conditions involving time delays / Zbigniew Emirsajlow, Anna Krakowiak, Adam KOWALEWSKI, Jan Sokolowski // W: MMAR 2013 : 18th international conference on Methods and Models in Automation and Robotics : 26–29 August 2013, Międzyzdroje, Poland : program, abstracts, proceedings (CD). — Szczecin : West Pomeranian University of Technology. Faculty of Electrical Engineering, [2013] + CD. — Opis częśc. wg. okł. — ISBN: 978-83-7518-593-5. — S. 69–70, B3L-B. — Pełny tekst na dołączonym CD-ROMie. — S. 514–519. — Wymagania systemowe: Adobe Reader ; napęd CD-ROM. — Bibliogr. s. 518–519, Abstr. — ISBN 978-1-4673-5507-0. — Toż: ISBN 978-1-4673-5508-7
Autorzy (4)
- Emirsajlow Zbigniew
- Krakowiak Anna
- AGHKowalewski Adam
- Sokolowski Jan
Dane bibliometryczne
| ID BaDAP | 75898 |
|---|---|
| Data dodania do BaDAP | 2013-09-27 |
| Rok publikacji | 2013 |
| Typ publikacji | materiały konferencyjne (aut.) |
| Otwarty dostęp | |
| Konferencja | International Conference on Methods and Models in Automation and Robotics 2013 |
Abstract
In the paper the first order sensitivity analysis is performed for a class of optimal control problems for parabolic-hyperbolic systems in which time delays appear both in the state equations and in the Neumann boundary conditions. A singular perturbation of geometrical domain of integration is introduced in the form of a circular hole. The Steklov-Poincare operator on a circle is defined in order to reduce the problem to regular perturbations in the truncated domain. The optimality system is differentiated with respect to the small parameter and the directional derivative of the optimal control is obtained as a solution to an auxiliary optimal control problem.