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A lower bound for the stability radius of time-varying systems
Author(s):
Adina
Luminita
Sasu;
Bogdan
Sasu
Journal:
Proc. Amer. Math. Soc.
132
(2004),
3653-3659.
MSC (2000):
Primary 34D05
Posted:
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 Timisoara, Romania
Email:
sasu@math.uvt.ro
Bogdan
Sasu
Affiliation:
Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timisoara, Romania
Email:
lbsasu@yahoo.com
DOI:
10.1090/S0002-9939-04-07513-6
PII:
S 0002-9939(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
Posted:
July 26, 2004
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2004,
American Mathematical Society
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