Small-time local controllability and continuity of the optimal time function for linear systems
type: Item
instance of: scholarly article
title: Small-time local controllability and continuity of the optimal time function for linear systems
zbMATH Open document ID: 0596.93012
DOI: 10.1007/BF00939220
published in: Journal of Optimization Theory and Applications
publication date: 1987-01-01T00:00:00Z
review text: For a finite-dimensional linear system, in which the control is restricted to belong to a completely arbitrary set J, we give a simple necessary and sufficient condition for small-time local controllability from a point p. The condition is equivalent to a characterization of the property that the Bellman function for the corresponding minimum-time optimal control problem is continuous at p.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 3961426
zbMATH Keywords: finite-dimensional linear system
zbMATH Keywords: small-time local controllability
zbMATH Keywords: Bellman function
zbMATH Keywords: minimum-time optimal control
author: Héctor J. Sussmann
MaRDI profile type: Publication
cites work: A General Theorem on Local Controllability
description: scientific article; zbMATH DE number 3961426