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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.
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.
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