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A Negative Result on Piecewise Quadratic Lyapunov Functions for Decay Rate Analysis
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1999 (English)In: Proceedings of the 38th IEEE Conference on Decision and Control, 1999, 2312-2313 vol.3 p.Conference paper, Published paper (Refereed)
Abstract [en]

In recent years, the advent of efficient methods for solving linear matrix inequality (LMI) problems has yielded a new interesting class of Lyapunov functions, the piecewise quadratic Lyapunov functions, subject to efficient computation. This class has shown promise, e.g. in the stability analysis of hybrid systems. In this paper, we describe one example that we have analyzed in order to investigate how LMI methods and piecewise quadratic Lyapunov functions can be used to iteratively synthesize a switched control law in order to obtain an improved decay rate. The example shows that piecewise quadratic Lyapunov functions are not sufficient to analyze the decay rate of a piecewise affine system, given that the partitioning used in the Lyapunov function is the same as in the piecewise affine system. As noted in other performance analysis examples, a finer partitioning is needed

Place, publisher, year, edition, pages
1999. 2312-2313 vol.3 p.
Keyword [en]
Lyapunov, Quadratic, Decay, Hybrid
National Category
Engineering and Technology Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-91198DOI: 10.1109/CDC.1999.831266ISBN: 0-7803-5250-5 (print)OAI: oai:DiVA.org:liu-91198DiVA: diva2:617137
Conference
38th IEEE Conference on Decision and Control, Phoenix, AZ, USA, December, 1999
Available from: 2013-04-22 Created: 2013-04-17 Last updated: 2013-04-22

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Spångéus, Per

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Citation style
  • apa
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  • modern-language-association-8th-edition
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  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
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  • text
  • asciidoc
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