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Novel Solution Methodology for Stochastic LQ Problems with Bounded Control

In the paper a novel methodology is proposed to solve problems of
stochastic optimal control with bounded in magnitude control law.
Namely, the developed strategy allows to fond an exact analytical
solution to the modified Hamilton-Jacobi-Bellman equation.
Together with the hybrid solution method, the proposed strategy
makes possible to build a solution to a whole class of stochastic
optimal control problems with bounded in magnitude control force.
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