0462241 20240111140923.620160906235959.9 84991809191 000392500900182 10.1109/MMAR.2016.7575281 6 s. P cav_un_epca*0462240978-1-5090-1867-31039-1044MiędzyzdrojeIEEE2016 Partial differential equation unconditionally stable discretization hexagonal grid 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. cav_un_auth*0243458 Cichy B. PL cav_un_auth*0243459 Galkowski K. PL cav_un_auth*0228702 Rogers E. GB konferenční příspěvek 340kB An unconditionally stable finite difference scheme for systems whose dynamics are described by a second-order partial differential equation is developed with use of regular hexagonal grid. The scheme is motivated by the well-known Crank-Nicolson discretization which was developed for first-order systems. The stability of the finite-difference scheme is analyzed by von Neumann’s method. Using the new scheme, a discrete in time and space model of a deformable mirror is derived as the basis for control law design. The convergence of this scheme for various values of the discretization parameters is checked by numerical simulations. cav_un_auth*0333021 The 21st International Conference on Methods and Models in Automation & Robotics Międzyzdroje, Poland, MMAR 2016 29.08.2016-01.09.2016 Amber Baltic Hotel, Międzyzdroje PL BC 2017 4 PR RVO:67985556 http://hdl.handle.net/11104/0261935 cav_un_auth*0333022 Inst. of Control and Computation Eng. University of Zielona Gora PL cav_un_auth*0333023 Dept. of Electronics and Computer Science, University of Southampton GB S n.a. Proceedings Paper Automation Control Systems|Engineering Electrical Electronic|Robotics 2016 84991809191 SCOPUS 000392500900182 WOS konferenční příspěvek 340kB cav_un_epca*0462240 Proceedings of the 21st International Conference on Methods and Models in Automation & Robotics 978-1-5090-1867-3 1039 1044 Międzyzdroje IEEE 2016 CFP16MMA-CDR