Sufficient conditions for stability of linear time-varying systems
type: Item
instance of: scholarly article
title: Sufficient conditions for stability of linear time-varying systems
zbMATH Open document ID: 0653.34038
DOI: 10.1016/0167-6911(87)90022-3
author: David H. Owens
author: Dieter Prätzel-Wolters
author: Achim Ilchmann
published in: Systems \& Control Letters
publication date: 1987-01-01T00:00:00Z
full work available at URL: SCL1987 9 IOP.pdf
review text: The paper is concerned with the exponential stability of the n- dimensional system \(\dot x(t)=A(t)x(t),\) \(t\geq 0\), where A(t) is a piecewise continuous matrix function with \(\| A(t)\| \leq M\) and \(\sigma (A(t))\subset \{s\in {\mathbb{C}}| Re(s)<-\alpha \}\) for all \(t\geq 0\) and some constants \(\alpha\), \(M\geq 0\). Based on the a priori knowledge of M and \(\alpha\) explicit formulae which guarantee the exponential stability of the system are given.
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 4065469
zbMATH Keywords: nonautonomous system
zbMATH Keywords: homogeneous equation
zbMATH Keywords: first order differential equation
zbMATH Keywords: exponential stability
Wikidata QID: Q123230893
MaRDI profile type: Publication
OpenAlex ID: W2062902727
cites work: Q5619754
cites work: Dichotomies in stability theory
cites work: An alternative stability analysis framework for adaptive control
cites work: An approach to stable indirect adaptive control
cites work: On the Stability of a Second-Order Differential Equation
description: scientific article; zbMATH DE number 4065469