A new formulation of state constraint problems for first-order PDES

Hitoshi Ishii, Shigeaki Koike

研究成果: Article

45 引用 (Scopus)

抄録

The first-order Hamilton-Jacobi-Bellman equation associated with the state constraint problem for optimal control is studied. Instead of the boundary condition which Soner introduced, a new and appropriate boundary condition for the PDE is proposed. The uniqueness and Lipschitz continuity of viscosity solutions for the boundary value problem are obtained.

元の言語English
ページ（範囲）554-571
ページ数18
ジャーナルSIAM Journal on Control and Optimization
巻34
発行部数2
出版物ステータスPublished - 1996 3
外部発表Yes

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State Constraints
Boundary conditions
First-order
Lipschitz Continuity
Hamilton-Jacobi-Bellman Equation
Formulation
Viscosity Solutions
Boundary value problems
Optimal Control
Uniqueness
Boundary Value Problem
Viscosity

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Control and Optimization

これを引用

A new formulation of state constraint problems for first-order PDES. / Ishii, Hitoshi; Koike, Shigeaki.

：: SIAM Journal on Control and Optimization, 巻 34, 番号 2, 03.1996, p. 554-571.

研究成果: Article

Ishii, H & Koike, S 1996, 'A new formulation of state constraint problems for first-order PDES', SIAM Journal on Control and Optimization, 巻. 34, 番号 2, pp. 554-571.
Ishii H, Koike S. A new formulation of state constraint problems for first-order PDES. SIAM Journal on Control and Optimization. 1996 3;34(2):554-571.
Ishii, Hitoshi ; Koike, Shigeaki. / A new formulation of state constraint problems for first-order PDES. ：: SIAM Journal on Control and Optimization. 1996 ; 巻 34, 番号 2. pp. 554-571.
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