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Warianty tytułu
Języki publikacji
Abstrakty
Let Xu(t) be a controlled Wiener process with jumps that are uniformly distributed over the interval [−c, c]. The aim is to minimize the time spent by Xu(t) in the interval [a, b]. The integro- differential equation, satisfied by the value function, is transformed into an ordinary differential equation and is solved explicitly for a particular case. The approximate solution obtained is precise when c is small.
Czasopismo
Rocznik
Tom
Strony
407--415
Opis fizyczny
Bibliogr. 5 poz., rys.
Twórcy
autor
- Department of Mathematics and Industrial Engineering, Polytechnique Montréal, C.P. 6079, Succursale Centre-ville, Montréal, Québec, Canada H3C 3A7
Bibliografia
- Abundo, M. (2000) On first-passage times for one-dimensional jump-diffusion processes. Probability and Mathematical Statistics, 20, 2, 399-423.
- Kou, S.G. and Wang, H. (2003) First passage times of a jump diffusion process. Advances in Applied Probability, 35, 504-531.
- Lefebvre, M. (2014) LQG homing for jump-diffusion processes. ROMAI Journal, 10, 2, 1-6.
- Theodorou, E.A. and Todorov, E. (2012) Stochastic optimal control for nonlinear Markov jump diffusion processes. In: Proceedings of the American Control Conference, 1633-1639. DOI: 10.1109/ACC.2012.6315408
- Whittle, P. (1982) Optimization over Time, Vol. I. Wiley, Chichester.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-47c6267c-59b8-4cdb-878b-cf97de72c37d