The Bellman equation for time-optimal control of noncontrollable, nonlinear systems
type: Item
instance of: scholarly article
title: The Bellman equation for time-optimal control of noncontrollable, nonlinear systems
zbMATH Open document ID: 0797.49025
DOI: 10.1007/BF00997118
author: Martino Bardi
author: Vasile Staicu
published in: Acta Applicandae Mathematicae
publication date: 1994-01-06T00:00:00Z
review text: The authors consider time optimal control for nonlinear systems which are not small time locally controllable around the target set. Here, in particular, the optimal value function is not continuous. In order to get unique solutions, a transformation is applied giving a Hamilton-Jacobi equation which is analyzed using the methods of viscosity solutions. Applications to verification theorems and to the stability of the minimum time function with respect to perturbations are given.
Mathematics Subject Classification ID: 49L25
Mathematics Subject Classification ID: 35F30
zbMATH DE Number: 465045
zbMATH Keywords: viscosity solutions
zbMATH Keywords: minimum time function
zbMATH Keywords: perturbations
reviewed by: Fritz Colonius
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 465045