0451268 20240111140911.620151126235959.9 84971472877 000380460400025 10.1109/NDS.2015.7332655 6 s. C cav_un_epca*0451276978-1-4799-8739-9134-139Vila RealIEEE2015 Discretization implicit difference scheme repetitive processes 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 příspěvek na konferenci 888 kB An unconditionally stable finite difference scheme for systems whose dynamics are described by a second-order partial differential equation is developed. 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 analysed 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*0322997 The 2015 IEEE 9th International Workshop on MultiDimensional (nD) Systems (nDS) (2015) 09.09.2015-11.09.2015 Vila Real PT BC 2016 4 PR RVO:67985556 http://hdl.handle.net/11104/0252444 cav_un_auth*0322998 Institute of Control and Computation Eng. University of Zielona Gora ICCE PL cav_un_auth*0322999 Dep. of Electronics and Computer Science University of Southampton GB S 2015 84971472877 SCOPUS 000380460400025 WOS příspěvek na konferenci 888 kB cav_un_epca*0451276 Proceedings of the 2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS ) 978-1-4799-8739-9 134 139 Vila Real IEEE 2015