0410854 20240111140636.020060210235959.9 Positive polynomial matrices and improved LMI robustness conditions Oxford Pergamon 2002 CD-ROM Preprints of the 15th Triennial World Congress of the IFACCamachoE. F.BasanezL.de la PuenteJ. A. linear systems robustness LMI 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 130 kB 09I KSK1019101 GA AV ČR cav_un_auth*0000219 ME 427 GA MŠk cav_un_auth*0028532 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, providing a clear interpretation of the role of the additional variables. cav_un_auth*0212929 Trienial World Congress of the IFAC /15./ Barcelona ES 21.07.2002-26.07.2002 BC TŘ http://hdl.handle.net/11104/0130941 UTIA-B 20020068 2002 2002 Oxford Pergamon 130 kB Preprints of the 15th Triennial World Congress of the IFAC Camacho E. F. 340 Basanez L. 340 de la Puente J. A. 340