0432834 20240111140852.320141014235959.9 84915745426 000352788900084 10.1109/MMAR.2014.6957400 6 s. C cav_un_epca*0432830978-1-4799-5082-9474-479MiedzyzdrojeIEEE2014 discretisation invariant systems discretisation schemes cav_un_auth*0213204 Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Augusta Petr UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. textový dokument 582,13 KB cav_un_auth*0284930 GPP103/12/P494 GA ČR The paper deals with discretisation of 2-D spatially invariant systems. Three different discretisation schemes are used — Tustin’s approximation, backward difference scheme and Crank-Nicolson discretisation. Their properties and importance are discussed in the paper. As an example a heat conduction in a rod is considered. Its model discrete in both time and space is obtained using all the above mentioned difference schemes. To determine whether the discrete model converges to the solution, von Neumann analysis of stability is applied to each scheme. The system is stabilised with use of each of obtained discrete models. Numerical simulations are included. Experiments with changing the parameters of discretisation are also given. cav_un_auth*0307704 The 19th International Conference on Methods and Models in Automation and Robotics 02.09.2014-05.09.2014 Miedzyzdroje PL BC 2015 1 PR RVO:67985556 http://hdl.handle.net/11104/0237208 S 2014 84915745426 SCOPUS 000352788900084 WOS textový dokument 582,13 KB cav_un_epca*0432830 Proceedings of the 19th International Conference on Methods and Models in Automation and Robotics 978-1-4799-5082-9 474 479 Miedzyzdroje IEEE 2014