An LMI condition for robust stability of polynomial matrix polytopes

0410546 20240103182221.620060210235959.9 An LMI condition for robust stability of polynomial matrix polytopes 8 s. cav_un_epca*02562180005-1098Automatica371 (2001)461-468Elsevier polynomial methods uncertain polynomials robust stability 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. 09I GA102/99/1368 GA ČR cav_un_auth*0004439 97/005-97/026 GA MŠk cav_un_auth*0212751 AV0Z1075907 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. BC TŘ http://hdl.handle.net/11104/0130635 UTIA-B 20010015 2001 cav_un_epca*0256218 Automatica 0005-1098 1873-2836 Roč. 37 č. 1 2001 461 468 Elsevier