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Stochastic Linear Controlled Systems with Quadratic Cost Revisited

Н. В. Крылов

Open publisher page 6 citations

Abstract

The subject of this article is quite classical. Indeed, the study of optimal control for continuous time diffusion processes began in the early 1960s with the stochastic linear regulator problem. We refer the reader to [ 1 ], [ 2 ], [ 3 ], [ 4 ], [ 8 ], and [ 9 ] for the literature and historical remarks related to the subject. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

About this research paper

What this paper is about

The subject of this article is quite classical. Indeed, the study of optimal control for continuous time diffusion processes began in the early 1960s with the stochastic linear regulator problem. We refer the reader to [ 1 ], [ 2 ], [ 3 ], [ 4 ], [ 8 ], and [ 9 ] for the literature and historical remarks related to the subject. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The subject of this article is quite classical. Indeed, the study of optimal control for continuous time diffusion processes began in the early 1960s with the stochastic linear regulator problem. We refer the reader to [ 1 ], [ 2 ], [ 3 ], [ 4 ], [ 8 ], and [ 9 ] for the literature and historical remarks related to the subject. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Key concepts: Subject (documents), Mathematical economics, Stochastic control, Quadratic equation, Linear-quadratic regulator, Computer science, Optimal control, Mathematics

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