0518675 20241106135805.420200102235959.9 85077538538 10.35470/2226-4116-2019-8-4-292-297 6 s. P cav_un_epca*03734582223-703884 (2019)292-297Rossiiskaya Akademiya Nauk Nonlinear observer Partial differential equation Finite elements Bioreactor cav_un_auth*0216347 Rehák Branislav UTIA-B Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0215855 Lynnyk Volodymyr UTIA-B Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. publikace v odborném periodiku 1,29 KB https://doi.org/10.35470/2226-4116-2019-8-4-292-297 cav_un_auth*0376351 GA19-07635S GA ČR CZ An observer for a nonlinear biological system - biomass production in a bioreactor - is proposed. The specific growth rate is estimated. The key point of the observer design is finding a solution of a certain partial differential equation. Conditions guaranteeing existence of its solution are presented. The solution is approximated using finite element method. The results are illustrated by a numerical example. SCOPUS BC 20000 20200 20205 2020 2 4 A sml 4as 20241106135805.4 RVO:67985556 http://hdl.handle.net/11104/0303891 S Copyright Form 20191216 A 0.164 Q4 2019 Soubory v repozitáři: rehak-0518675-Tranfer_form_small.JPG 85077538538 SCOPUS PUBMED WOS publikace v odborném periodiku 1,29 KB cav_un_epca*0373458 Cybernetics and Physics 2223-7038 Roč. 8 č. 4 2019 292 297 Rossiiskaya Akademiya Nauk