Measurement stability of time-optimal feedback control of two-input strictly normal linear systems
type: Item
instance of: scholarly article
title: Measurement stability of time-optimal feedback control of two-input strictly normal linear systems
zbMATH Open document ID: 0701.93011
DOI: 10.1016/0022-0396(90)90044-P
author: L. David Meeker
published in: Journal of Differential Equations
publication date: 1990-01-01T00:00:00Z
review text: Given a linear, time-independent system of the form \(\dot x(t)=Ax(t)+Bu(t)\), where the input space is two dimensional and \(| u_ i(t)| \leq 1\), \(i=1,2\). The paper is concerned with the time- optimal control of such a system. Under the assumption that the optimal control is given by a (nonlinear) feedback law the author studies the stability with respect to measurement of the closed-loop system. This form of stability is by definition that the solutions of \(\dot x(t)=f(x(t))\) and \(\dot x(t)=f(x(t)+p(t))\) are close for p small. The main result of this paper is a complete characterization of all systems for which the closed-loop, time-optimal control system is stable with respect to measurement. The test is given in the coefficients A and B.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 49K40
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 4149973
zbMATH Keywords: time-optimal control
zbMATH Keywords: stability with respect to measurement
zbMATH Keywords: time-invariant
reviewed by: Hans Zwart
MaRDI profile type: Publication
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full work available at URL: 0022-0396(90)90044-p
OpenAlex ID: W2039334419
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description: scientific article; zbMATH DE number 4149973