THE DYNAMIC-PROGRAMMING EQUATION FOR THE TIME-OPTIMAL CONTROL PROBLEM IN INFINITE DIMENSIONS

被引：16

作者：

BARBU, V

机构：

[1] Univ of Iasi, Iasi

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1991年 / 29卷 / 02期

基金：

日本学术振兴会;

关键词：

TIME-OPTIMAL CONTROL PROBLEM; MINIMAL TIME FUNCTION; HAMILTON-JACOBI EQUATION; VISCOSITY SOLUTION;

D O I：

10.1137/0329024

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The existence and uniqueness of a viscosity solution for the Bellman equation associated with the time-optimal control problem for a semilinear evolution equation in Hilbert space is provided. Applications to time-optimal control problems governed by parabolic equations are given.

引用

页码：445 / 456

页数：12

共 16 条

[1]

Barbu, 1976, NONLINEAR SEMIGROUPS

[2]

BARBU V, 1987, LECTURE NOTES CONTRO, V97, P15

[3] A BOUNDARY-VALUE PROBLEM FOR THE MINIMUM-TIME FUNCTION [J].