0411104 20240103182302.020060210235959.9 7 s. cav_un_epca*02562180005-1098398 (2003)1479-1485Elsevier linear systems state-space method polynomial methods cav_un_auth*0101104 Henrion Didier UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0021056 Arzelier D. FR cav_un_auth*0021055 Peaucelle D. FR 09I GA102/02/0709 GA ČR cav_un_auth*0004118 ME 496 GA MŠk cav_un_auth*0000528 CEZ:AV0Z1075907 Recently, several new LMI conditions for stability of linear systems have been proposed, introducing additional slack variables to reduce the gap between conservative convex quadratic stability conditions and intractable non-convex robust stability conditions. In this paper, we show that these improved LMI conditions can be derived with the help of some basic results on positive polynomial matrices. BC TŘ http://hdl.handle.net/11104/0131191 UTIA-B 20030091 2003 cav_un_epca*0256218 Automatica 0005-1098 1873-2836 Roč. 39 č. 8 2003 1479 1485 Elsevier