0410893 20240103182246.920060210235959.9 4 s. cav_un_epca*02567201057-7122497 (2002)1017-1020 linear matrix inequalities polynomial strictly positive real cav_un_auth*0101104 Henrion Didier UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. 09I GA102/02/0709 GA ČR cav_un_auth*0004118 ME 427 GA MŠk cav_un_auth*0028532 CEZ:AV0Z1075907 A necessary and sufficient condition is proposed for the existence of a polynomial p(s) such that the rational function p(s)/q(s) is robustly strictly positive real when q(s) is a 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 matrix inequalities. BC TŘ http://hdl.handle.net/11104/0130980 UTIA-B 20020107 2002 cav_un_epca*0256720 IEEE Transaction on Circuits and Systems 1057-7122 Roč. 49 č. 7 2002 1017 1020