Variational inequalities for leavable bounded-velocity control

Shigeaki Koike; Hiroaki Morimoto

doi:10.1007/s00245-003-0763-9

Variational inequalities for leavable bounded-velocity control

Shigeaki Koike, Hiroaki Morimoto

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We study the variational inequality associated with a bounded-velocity control problem when discretionary stopping is allowed. We establish the existence of a strong solution by using the viscosity solution techniques. The optimal policy is shown to exist from the optimality conditions in the variational inequality.

Original language	English
Pages (from-to)	1-20
Number of pages	20
Journal	Applied Mathematics and Optimization
Volume	48
Issue number	1
DOIs	https://doi.org/10.1007/s00245-003-0763-9
Publication status	Published - 2003 Dec 1
Externally published	Yes

Keywords

Optimal stopping
Stochastic control
Variational inequality
Viscosity solution

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

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abstract = "We study the variational inequality associated with a bounded-velocity control problem when discretionary stopping is allowed. We establish the existence of a strong solution by using the viscosity solution techniques. The optimal policy is shown to exist from the optimality conditions in the variational inequality.",

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author = "Shigeaki Koike and Hiroaki Morimoto",

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KW - Variational inequality

KW - Viscosity solution

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