Optimal control of systems governed by stochastic McShane differential equations with fixed terminal time
作者:
K. L. TEO,
期刊:
International Journal of Systems Science
(Taylor Available online 1976)
卷期:
Volume 7,
issue 1
页码: 107-119
ISSN:0020-7721
年代: 1976
DOI:10.1080/00207727608941904
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In this paper we consider a class of stochastic systems governed by McShane stochastic differential equations for which both parameters and controls are to be chosen optimally with respect to a certain performance criterion over a fixed time interval. It is shown that this problem can be converted into an equivalent optimization problem of distributed parameter systems of parabolic type with a Cauchy boundary condition. For this reduced problem a necessary condition for optimality is given. This result is then used to obtain the individual necessary conditions for optimal controls and optimal parameters. Finally, a bang—bang principle is shown to hold true for n class of linear optimal control problems.
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