Geodesic
On the smoothness of solutions of linear-quadratic regulator for degenerate diffusions
Lobachevskii journal of mathematics, Tome 17 (2005), pp. 11-23

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: stochastic differential equation, Hamilton–Jacobi–Bellman equation, linear-quadratic problem, viscosity solutions, applications to control theory. 
@article{LJM_2005_17_a1,
     author = {M. A. Baten},
     title = {On the smoothness of solutions of linear-quadratic regulator for degenerate diffusions},
     journal = {Lobachevskii journal of mathematics},
     pages = {11--23},
     publisher = {mathdoc},
     volume = {17},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_2005_17_a1/}
}
TY  - JOUR
AU  - M. A. Baten
TI  - On the smoothness of solutions of linear-quadratic regulator for degenerate diffusions
JO  - Lobachevskii journal of mathematics
PY  - 2005
SP  - 11
EP  - 23
VL  - 17
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/LJM_2005_17_a1/
LA  - en
ID  - LJM_2005_17_a1
ER  - 
%0 Journal Article
%A M. A. Baten
%T On the smoothness of solutions of linear-quadratic regulator for degenerate diffusions
%J Lobachevskii journal of mathematics
%D 2005
%P 11-23
%V 17
%I mathdoc
%U http://geodesic.mathdoc.fr/item/LJM_2005_17_a1/
%G en
%F LJM_2005_17_a1
M. A. Baten. On the smoothness of solutions of linear-quadratic regulator for degenerate diffusions. Lobachevskii journal of mathematics, Tome 17 (2005), pp. 11-23. http://geodesic.mathdoc.fr/item/LJM_2005_17_a1/