Korbicz, Józef - red. ; Uciński, Dariusz - red.
The problem considered is that of approximate numerical minimisation of the non-linear control problem of Bolza. Starting from the classical dynamic programming method of Bellman, an ?-value function is defined as an approximation for the value function being a solution to the Hamilton-Jacobi equation. ; The paper shows how an [epsilon]-value function which maintains suitable properties analogous to the original Hamilton-Jacobi value function can be constructed using a stable numerical algorithm. The paper shows the numerical closeness of the approximate minimum to the infimum of the Bolza functional.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 11, number 2 (2001) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
2021-09-03
2021-07-20
52
https://zbc.uz.zgora.pl/publication/65553
Nazwa wydania | Data |
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An algorithm for construction of ?-value functions for the Bolza control problem | 2021-09-03 |
Pustelnik, Jan Korbicz, Józef - red. Uciński, Dariusz - red.
Hendzel, Zenon Penar, Paweł Jurczak, Paweł - red.
Haber, Robert Bars, Ruth Lengyel, Orsolya Kowalczuk, Zdzisław - red.
Sadecki, Jan Korbicz, Józef - red. Uciński, Dariusz - red.
Wu, Jia Abbas-Turki, Abdeljalil Perronnet, Florent Korbicz, Józef - red. Uciński, Dariusz - red.
Yan, Fei Dridi, Mahjoub El Moudni, Abdellah Korbicz, Józef - red. Uciński, Dariusz - red.
Bartoszewicz, Andrzej Leśniewski, Piotr Kowal, Marek - red. Korbicz, Józef - red.
Di Trapani, Lyall Jonathan Inanc, Tamer Korbicz, Józef - red. Uciński, Dariusz - red.