|
Lobachevskii Journal of Mathematics, 2005, том 17, страницы 11–23
(Mi ljm72)
|
|
|
|
On the smoothness of solutions of linear-quadratic regulator for degenerate diffusions
M. A. Baten Shahjalal University of Science and Technology
Аннотация:
The paper studies the smoothness of solutions of the degenerate Hamilton–Jacobi–Bellman (HJB) equation associated with a linear-quadratic regulator control problem. We establish the existence of a classical solution of the degenerate HJB equation associated with this problem
by the technique of viscosity solutions, and hence derive an optimal control from the optimality conditions in the HJB equation.
Ключевые слова:
stochastic differential equation, Hamilton–Jacobi–Bellman equation, linear-quadratic problem, viscosity solutions, applications to control theory.
Образец цитирования:
M. A. Baten, “On the smoothness of solutions of linear-quadratic regulator for degenerate diffusions”, Lobachevskii J. Math., 17 (2005), 11–23
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/ljm72 https://www.mathnet.ru/rus/ljm/v17/p11
|
Статистика просмотров: |
Страница аннотации: | 233 | PDF полного текста: | 84 | Список литературы: | 31 |
|