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An LMI condition for robust stability of polynomial matrix polytopes
- 1.0410546 - UTIA-B 20010015 RIV GB eng J - Journal Article
Henrion, D. - Arzelier, D. - Peaucelle, D. - Šebek, Michael
An LMI condition for robust stability of polynomial matrix polytopes.
Automatica. Roč. 37, č. 1 (2001), s. 461-468. ISSN 0005-1098. E-ISSN 1873-2836
R&D Projects: GA ČR GA102/99/1368; GA MŠMT 97/005-97/026
Institutional research plan: AV0Z1075907
Keywords : polynomial methods * uncertain polynomials * robust stability
Subject RIV: BC - Control Systems Theory
Impact factor: 1.449, year: 2001
A sufficient 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 condiiton narrows significantly the unavoidable gap between conservative tractable quadratic stability results and exact NP-hard robust stability results.
Permanent Link: http://hdl.handle.net/11104/0130635
Number of the records: 1