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Composition and invariance methods for solving some stochastic control problems

Published online by Cambridge University Press:  01 July 2016

V. E. Beneš
V. E. Beneš*
Affiliation:
Bell Laboratories, Murray Hill, New Jersey
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Abstract

This paper considers certain stochastic control problems in which control affects the criterion through the process trajectory. Special analytical methods are developed to solve such problems for certain dynamical systems forced by white noise. It is found that some control problems hitherto approachable only through laborious numerical treatment of the non-linear Bellman-Hamilton-Jacobi partial differential equation can now be solved.

Keywords

STOCHASTIC CONTROLBELLMAN'S EQUATIONMAXIMUM PRINCIPLEGIRSANOV SOLUTIONS

Information

Type
Research Article
Information
Advances in Applied Probability , Volume 7 , Issue 2 , June 1975 , pp. 299 - 329
Copyright
Copyright © Applied Probability Trust 1975 

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