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On the LQG theory with bounded control
Authors:D V Iourtchenko  J L Menaldi  A S Bratus
Institution:(1) Automation and Robotics Research Institute, University of Texas at Arlington, 7300 Jack Newell Blvd. S., Fort Worth, TX 76118, USA
Abstract:We consider a stochastic optimal control problem in the whole space, where the corresponding HJB equation is degenerate, with a quadratic running cost and coefficients with a linear growth. In this paper we provide full mathematical details on the key estimate relating the asymptotic behavior of the solution as the space variables tend to infinite.
Keywords:
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