0395890 20240111140834.420130919235959.9 5 s. C cav_un_epca*0395889978-3-8007-3543-3163-167ErlangenVDE Verlag GMBH 20132013 spatially invariant system stabilisation positive polynomial cav_un_auth*0213204 Augusta Petr Teorie řízení Department of Control Theory TŘ TR UTIA-B Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. textový dokument 753 kB GPP103/12/P494 GA ČR cav_un_auth*0284930 The paper presents a simple method to stabilise spatially invariant systems described by a parabolic partial differential equation with one temporal and two spatial variables. The method is based on the double use of a technique for the stabilisation of systems with one temporal and one spatial variables. Systems and controllers are described by transfer functions. The stabilisation uses an equivalence of stability of the closed-loop characteristic polynomial and positiveness of a certain symmetric polynomial matrix. Illustrative examples and numerical simulations are included cav_un_auth*0293850 The 8th Int. Workshop on Multidimensional Systems (nDS 13) Erlangen 09.09.2013-11.09.2013 FR 2014 BC 1 PR RVO:67985556 http://hdl.handle.net/11104/0223791 2013 textový dokument 753 kB cav_un_epca*0395889 Proceedings of the 8th Int. Workshop on Multidimensional Systems (nDS 13) 978-3-8007-3543-3 163 167 Erlangen VDE Verlag GMBH 2013 2013