About the linear-quadratic regulator problem under a fractional brownian perturbation
ESAIM: Probability and Statistics, Tome 7 (2003), pp. 161-170.

In this paper we solve the basic fractional analogue of the classical linear-quadratic gaussian regulator problem in continuous time. For a completely observable controlled linear system driven by a fractional brownian motion, we describe explicitely the optimal control policy which minimizes a quadratic performance criterion.

DOI : 10.1051/ps:2003007
Classification : 93E20, 60G15, 60G44
Mots clés : fractional brownian motion, linear system, optimal control, quadratic payoff
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     title = {About the linear-quadratic regulator problem under a fractional brownian perturbation},
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Kleptsyna, M. L.; Breton, Alain Le; Viot, M. About the linear-quadratic regulator problem under a fractional brownian perturbation. ESAIM: Probability and Statistics, Tome 7 (2003), pp. 161-170. doi : 10.1051/ps:2003007. http://www.numdam.org/articles/10.1051/ps:2003007/

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