Variational inequalities for leavable bounded-velocity control

Shigeaki Koike, Hiroaki Morimoto

研究成果: Article

8 引用 (Scopus)

抄録

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.

元の言語English
ページ（範囲）1-20
ページ数20
ジャーナルApplied Mathematics and Optimization
巻48
発行部数1
DOI
出版物ステータスPublished - 2003 12 1
外部発表Yes

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Velocity control
Variational Inequalities
Viscosity
Viscosity Solutions
Strong Solution
Optimal Policy
Optimality Conditions
Control Problem

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics

これを引用

Variational inequalities for leavable bounded-velocity control. / Koike, Shigeaki; Morimoto, Hiroaki.

：: Applied Mathematics and Optimization, 巻 48, 番号 1, 01.12.2003, p. 1-20.

研究成果: Article

Koike, S & Morimoto, H 2003, 'Variational inequalities for leavable bounded-velocity control', Applied Mathematics and Optimization, 巻. 48, 番号 1, pp. 1-20. https://doi.org/10.1007/s00245-003-0763-9
Koike S, Morimoto H. Variational inequalities for leavable bounded-velocity control. Applied Mathematics and Optimization. 2003 12 1;48(1):1-20. https://doi.org/10.1007/s00245-003-0763-9
Koike, Shigeaki ; Morimoto, Hiroaki. / Variational inequalities for leavable bounded-velocity control. ：: Applied Mathematics and Optimization. 2003 ; 巻 48, 番号 1. pp. 1-20.
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