On the stability of slowly time-varying linear systems
type: Item
instance of: scholarly article
title: On the stability of slowly time-varying linear systems
zbMATH Open document ID: 0833.93047
DOI: 10.1007/BF01211523
published in: MCSS. Mathematics of Control, Signals, and Systems
publication date: 1996-03-06T00:00:00Z
review text: The author presents several interesting results on exponential stability of time-varying, finite-dimensional systems \(\dot x(t)= [A(t)+ P(t) ]x(t)\) provided the perturbation \(P(\cdot)\) is small and \(t\mapsto A(t)\) is slowly varying, bounded and the eigenvalues of \(A(t)\) remain ``on average'' strictly in the left-half complex plane. These results are also generalized to periodic and stochastic systems.
reviewed by: Achim Ilchmann
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93C73
zbMATH DE Number: 782153
zbMATH Keywords: exponential stability
zbMATH Keywords: time-varying
zbMATH Keywords: perturbation
author: V. Solo
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01211523
OpenAlex ID: W2075645768
description: scientific article; zbMATH DE number 782153