0492892 20240111141005.620180905235959.9 6 s. P cav_un_epca*0492891659-665Hong KongHong Kong University of Science and Technology2018 Finite difference Iterative learning control PDE discretization 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. cav_un_auth*0243458 Cichy B. PL cav_un_auth*0243459 Galkowski K. PL cav_un_auth*0228702 Rogers E. GB 309 KB Iterative learning control is a well established area of research and applications in engineering and more recently healthcare. This form of control is especially suitable for applications where the system is required to make repeated executions of a finite duration task with resetting to the starting location at the end of each execution. The majority of the theory and designs are for systems described by finite dimensional differential or discrete dynamics but there is increasing interest in the extension to systems described by partial differential equations, where the interest in this paper is in the use of approximate finite dimensional models of the dynamics. The construction of such models studied using a regular hexagonal grid and polar coordinates, with a fourth order partial differential equation as an example. A supporting numerical application study is also given. cav_un_auth*0363598 The 23rd International Symposium on Mathematical Theory of Networks and Systems (MTNS 2018) 20180716 20180720 Hong Kong University of Science and Technology HK BC 20000 20200 20201 2019 4 PR RVO:67985556 http://hdl.handle.net/11104/0286501 cav_un_auth*0363599 Institute of Control and Computation Engineering, University of Zielona Gora PL cav_un_auth*0350834 Department of Electronics and Computer Science, University of Southampton GB S 2018 SCOPUS PUBMED WOS 309 KB cav_un_epca*0492891 Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems 659 665 Hong Kong Hong Kong University of Science and Technology 2018