A controllability minimum principle
type: Item
instance of: scholarly article
title: A controllability minimum principle
zbMATH Open document ID: 0292.93002
DOI: 10.1007/BF00933917
author: Thomas L. Vincent
author: Walter J. Grantham
published in: Journal of Optimization Theory and Applications
publication date: 1975-01-01T00:00:00Z
review text: A controllability minimum principle and two associated transversality conditions are presented, dealing with the controllability of nonlinear systems. The theorems represent necessary conditions for a control function to generate a system path which lies in the boundary of the set of points that are controllable to a target. The theorems presented here are controllability counterparts to Pontryagin's maximum principle, and undoubtedly these results will seem familiar or may have occurred to other researchers in the area of optimal control. The purpose of this paper is to make the distinction explicit and to establish the validity of these controllability theorems on their own merits. The theorems are demonstrated using a simple example and the principal result (a controllability minimum principle) is shown to be equivalent to the Kalman controllability criterion for linear systems.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 49K99
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 3458452
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00933917
OpenAlex ID: W2021942007
description: scientific article; zbMATH DE number 3458452