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A new robust D-stability condition for real convex polytopic uncertainty

✍ Scribed by D. Peaucelle; D. Arzelier; O. Bachelier; J. Bernussou

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 152 KB
Volume: 40
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(99)00119-x

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✦ Synopsis

The problem of robust D-stability analysis with respect to real convex polytopic uncertainties is tackled. A new LMI-based su cient condition for the existence of parameter-dependent Lyapunov functions is proposed. This condition generalises previously published conditions. Numerical comparisons with quadratic stability results as well as previous results based on parameter-dependent Lyapunov functions illustrate the relevance of this new condition. Finally, this result appears to be promising for robust multi-objective performance analysis and control synthesis purposes.

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