0542304 20240111141051.620210513235959.9 10.21136/panm.2020.11 10 s. P cav_un_epca*0542457978-80-85823-71-420110-119PragueInstitute of Mathematics CAS2021ChlebounJ.KůsP.PřikrylP.RozložníkM.SegethK.ŠístekJ. Finite element method Observer Partial differential equation 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. http://library.utia.cas.cz/separaty/2021/TR/rehak-0542304.pdf 426 KB GA19-07635S GA ČR CZ cav_un_auth*0376351 The central part in the process of solving the observer problem for nonlinear systems is to nd a solution of a partial differential equation of first order. The original method proposed to solve this equation used expansions into Taylor polynomials, however, it suffers from rather restrictive assumptions while the approach proposed here allows to generalize these requirements. Its characteristic feature is that it is based on the application of the Finite Element Method. An illustrating example is provided. cav_un_auth*0404327 Programy a algoritmy numericke matematiky 2020 (PANM 2020) 20200621 20200626 Hejnice CZ BC 10000 10100 10102 2022 1 PR RVO:67985556 http://hdl.handle.net/11104/0320100 S 2021 SCOPUS PUBMED WOS 426 KB cav_un_epca*0542457 Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar 20 Institute of Mathematics CAS 2021 Prague 110 119 978-80-85823-71-4 Chleboun J. 340 Kůs P. 340 Přikryl P. 340 Rozložník M. 340 Segeth K. 340 Šístek J. 340