0410399 20240111140635.620060210235959.9 An LMI condition for robust stability of polynomial matrix polytopes Praha ÚTIA AV ČR 2000 CD-ROM Preprints of the 3rd IFAC Symposium on Robust Control Design cav_un_auth*0015534 Henrion D. FR cav_un_auth*0021056 Arzelier D. FR cav_un_auth*0021055 Peaucelle D. FR cav_un_auth*0101204 Šebek Michael UTIA-B Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 361 kB 09I GA102/99/1368 GA ČR cav_un_auth*0004439 AV0Z1075907 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. cav_un_auth*0212678 ROCOND 2000 /3./ Praha CZ 21.06.2000-23.06.2000 BC TŘ http://hdl.handle.net/11104/0130488 UTIA-B 20000115 2000 2000 Praha ÚTIA AV ČR 361 kB Preprints of the 3rd IFAC Symposium on Robust Control Design