(1) Laboratoire de Probabilites, Universite´ Paris VI, 75252 Paris Cx 05, France;(2) Laboratoire de Probabilites, Universite´ Paris VI, 75252 Paris Cx 05, France
Abstract:
In this paper, we consider a filtering problem where the observation filtration is enlarged with a future information. In the linear case, we obtain the filter equations and study the associated linear regulator problem.