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

Hitoshi Ishii; Shigeaki Koike

doi:10.1137/S0363012993250268

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

Hitoshi Ishii, Shigeaki Koike

School of Advanced Science and Engineering

Research output: Contribution to journal › Article

46 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 language	English
Pages (from-to)	554-571
Number of pages	18
Journal	SIAM Journal on Control and Optimization
Volume	34
Issue number	2
DOIs	https://doi.org/10.1137/S0363012993250268
Publication status	Published - 1996 Mar

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Keywords

Comparison principle
State constraint problem
Viscosity solution

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

Cite this

Ishii, H., & Koike, S. (1996). A new formulation of state constraint problems for first-order PDES. SIAM Journal on Control and Optimization, 34(2), 554-571. https://doi.org/10.1137/S0363012993250268

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10.1137/S0363012993250268