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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A lower bound for the stability radius of time-varying systems


Authors: Adina Luminita Sasu and Bogdan Sasu
Journal: Proc. Amer. Math. Soc. 132 (2004), 3653-3659
MSC (2000): Primary 34D05
DOI: https://doi.org/10.1090/S0002-9939-04-07513-6
Published electronically: July 26, 2004
MathSciNet review: 2084088
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Abstract: We introduce and characterize the stability radius of systems whose state evolution is described by linear skew-product semiflows. We obtain a lower bound for the stability radius in terms of the Perron operators associated to the linear skew-product semiflow. We generalize a result due to Hinrichsen and Pritchard.


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Additional Information

Adina Luminita Sasu
Affiliation: Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, Romania
Email: sasu@math.uvt.ro

Bogdan Sasu
Affiliation: Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timişoara, Romania
Email: lbsasu@yahoo.com

DOI: https://doi.org/10.1090/S0002-9939-04-07513-6
Keywords: Linear skew-product semiflows, stability radius
Received by editor(s): April 7, 2003
Received by editor(s) in revised form: August 24, 2003
Published electronically: July 26, 2004
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2004 American Mathematical Society