0410767 20240103182237.720060210235959.9 Toulouse ECMMS 2001 11 s. 1-11 strictly positive real polynomial linear matrix inequalities cav_un_auth*0101104 Henrion Didier UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. 09I KSK1019101 GA AV ČR cav_un_auth*0000219 AV0Z1075907 A necessary and sufficient condition is proposed for existence of a polynomial p(s)/q(s)is robustly strictly positive real when q(s) is given Hurwitz polynomial with polytopic uncertainty. It turns out that the whole set of candidates p(s) is a convex subset of the cone of positive semidefinite matrices, resulting in a straightforward strictly positive real design algorithm based on linear inequalities. cav_un_auth*0212873 Workshop on Electronics, Control, Modelling, Measurement and Signals Toulouse FR 30.05.2001-01.06.2001 BC TŘ http://hdl.handle.net/11104/0130855 UTIA-B 20010236 2001 2001 Toulouse ECMMS Proceedings of the Workshop on Electronics, Control, Modelling, Measurement and Signals 1 11