𝔖 Bobbio Scriptorium
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An LMI condition for robust stability of polynomial matrix polytopes

✍ Scribed by Didier Henrion; Denis Arzelier; Dimitry Peaucelle; Michael Šebek

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
243 KB
Volume
37
Category
Article
ISSN
0005-1098

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✦ Synopsis

A su$cient LMI condition is proposed for checking robust stability of a polytope of polynomial matrices. It hinges upon two recent results: a new approach to polynomial matrix stability analysis and a new robust stability condition for convex polytopic uncertainty. Numerical experiments illustrate that the condition narrows signi"cantly the unavoidable gap between conservative tractable quadratic stability results and exact NP-hard robust stability results.

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