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Transitory behavior of uncertain systems A VOLUME IN HONOR OF DIEDERICH HINRICHSEN
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UNSPECIFIED (2001) Transitory behavior of uncertain systems A VOLUME IN HONOR OF DIEDERICH HINRICHSEN. In: Workshop on Advances in Mathematical Systems Theory, BORKUM, GERMANY, APR 20-23, 1999. Published in: ADVANCES IN MATHEMATICAL SYSTEMS THEORY pp. 1-17. ISBN 0-8176-4162-9.
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Abstract
The notion of a transitory excursion is introduced as a measure of the distance a stable semigroup (generated by a matrix A) moves away from the origin. Various estimates for the excursion are obtained via the distance of A from the normal matrices, properties of spectral value sets of A, and time-varying Lyapunov equations. It is shown how the excursion can be improved by state feedback. Finally the notion of transitory excursion radius for uncertain systems is introduced and estimates obtained.
Item Type: | Conference Item (UNSPECIFIED) | ||||
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Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software T Technology > TL Motor vehicles. Aeronautics. Astronautics Q Science > QA Mathematics |
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Series Name: | SYSTEMS AND CONTROL | ||||
Journal or Publication Title: | ADVANCES IN MATHEMATICAL SYSTEMS THEORY | ||||
Publisher: | BIRKHAUSER BOSTON | ||||
ISBN: | 0-8176-4162-9 | ||||
Editor: | Colonius, F and Helmke, U and PratzelWolters, D and Wirth, F | ||||
Official Date: | 2001 | ||||
Dates: |
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Number of Pages: | 17 | ||||
Page Range: | pp. 1-17 | ||||
Publication Status: | Published | ||||
Title of Event: | Workshop on Advances in Mathematical Systems Theory | ||||
Location of Event: | BORKUM, GERMANY | ||||
Date(s) of Event: | APR 20-23, 1999 |
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