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Optimal Control With Noisy Time

delete2015-01-01
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OA
AI
A
Andrew Lamperski *
N
Noah J. Cowan *
DOI:10.1109/TAC.2015.2444234delete
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摘要

摘要

En 中文
This paper examines stochastic optimal control problems in which the state is perfectly known, but the controller's measure of time is a stochastic process derived from a strictly increasing Levy process. We provide dynamic programming results for continuous-time finite-horizon control and specialize these results to solve a noisy-time variant of the linear quadratic regulator problem and a portfolio optimization problem with random trade activity rates. For the linear quadratic case, the optimal controller is linear and can be computed from a generalization of the classical Riccati differential equation.
Keyword:
Optimal control
stochastic optimal control
stochastic systems
uncertain time
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期刊

IEEE Transactions on Automatic Control 封面图
IEEE Transactions on Automatic Control
IF:
7
论文数:
1.3W
被引数:
6.7W

机构

U
University of Minnesota Twin Cities
学者数:
3.7W
论文数: 3.1W
被引数: 58
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