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Parameter Dependent Lyapunov Functions Based on Linear Fractional Transformation
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1999 (English)In: Proceedings of the 14th IFAC World Congress, 1999, Vol. F, 537-542 p.Conference paper (Refereed)
Abstract [en]

A parameter dependent Lyapunov function is introduced for stability analysis of linear systems with slowly varying parameters. The Lyapunov function is a quadratic form using a linear fractional transformation (LFT) of the parameters. The parameters are assumed to be bounded and with bounded derivatives. Other types of uncertainties can be included in the problem.The new criterion yields less conservative bounds than previously proposed criteria.

Place, publisher, year, edition, pages
1999. Vol. F, 537-542 p.
Keyword [en]
Stability analysis, Robustness, Linear, Time varying systems, Parametrization, Lyapunov functions
National Category
Engineering and Technology Control Engineering
URN: urn:nbn:se:liu:diva-91178ISBN: 978-0080432137OAI: diva2:617280
14th IFAC World Congress, Beijing, China, July, 1999
Available from: 2013-04-22 Created: 2013-04-17 Last updated: 2013-04-22

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Helmersson, Anders
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ReferencesLink to record
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