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

Hitoshi Ishii, Shigeaki Koike

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)554-571
Number of pages18
JournalSIAM Journal on Control and Optimization
Volume34
Issue number2
Publication statusPublished - 1996 Mar
Externally publishedYes

Fingerprint

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

Keywords

  • Comparison principle
  • State constraint problem
  • Viscosity solution

ASJC Scopus subject areas

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

Cite this

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

In: SIAM Journal on Control and Optimization, Vol. 34, No. 2, 03.1996, p. 554-571.

Research output: Contribution to journalArticle

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