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An LMI condition for robust stability of polynomial matrix polytopes
- 1.0410399 - UTIA-B 20000115 RIV CZ eng C - Conference Paper (international conference)
Henrion, D. - Arzelier, D. - Peaucelle, D. - Šebek, Michael
An LMI condition for robust stability of polynomial matrix polytopes.
Praha: ÚTIA AV ČR, 2000. In: Preprints of the 3rd IFAC Symposium on Robust Control Design.
[ROCOND 2000 /3./. Praha (CZ), 21.06.2000-23.06.2000]
R&D Projects: GA ČR GA102/99/1368
Institutional research plan: AV0Z1075907
Subject RIV: BC - Control Systems Theory
A sufficient LMI condition is proposed for checking robust stability of apolytope of polynomial matrices. It hinges upon two recent results: a new approach topolynomial matrix stability analysis and a new robust stability condition for convex polytopic uncertainty. Numerical experiments illustrate that the condition narrows signifficantly the unavoidable gap between conservative tractable quadratic stability results and exact NP-hard robust stability results.
Permanent Link: http://hdl.handle.net/11104/0130488
Number of the records: 1