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Piecewise constant Lyapunov functions for the construction of robust regions of attraction

✍ Scribed by N. Kazakova-Frehse; T. Moor

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 132 KB
Volume: 9
Category: Article
ISSN: 1049-8923
DOI: 10.1002/(sici)1099-1239(19990715)9:8<451::aid-rnc413>3.0.co;2-v

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✦ Synopsis

This paper deals with the estimation of a robust domain of attraction for nonlinear systems with structured uncertainties. For this goal a piecewise constant parameter-dependent Lyapunov function is used. This type of a Lyapunov function is based on dividing the uncertainty bounding set into a "nite number of partitions, yielding a common Lyapnov function for each partition. A numerical example is included.

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