0380380 20240111140819.820120921235959.9 000312660400074 10.1109/MMAR.2012.6347854 6 s. C cav_un_epca*0380041978-1-4673-2123-5409-414SzczecinWest Pomeranian University of Technology2012 algebraic Riccati equations spatially distributed systems Fourier transforms 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 1,24 mB GPP103/12/P494 GA ČR cav_un_auth*0284930 The paper deals with solving algebraic Riccati equations with two-sided polynomials, which arise in some applications of optimal control of linear time-invariant spatially distributed systems. The conditions are given for the existence of a solution in the set of finite-order polynomials. If such a solution does not exist, the infinite-order solution is truncated and given in the form of polynomial of an arbitrary high order. The proposed numerical algorithm is based on the discrete Fourier transform theory. An example on optimal control of spatially-distributed systems is also given. The proposed algorithm is used to design of the distributed LQ controller. cav_un_auth*0283253 The 17th International Conference on Methods and Models in Automation and Robotics Międzyzdroje 27.08.2012-30.08.2012 PL 2013 BC 1 PR RVO:67985556 http://hdl.handle.net/11104/0211102 2012 000312660400074 WOS textový dokument 1,24 mB cav_un_epca*0380041 Proceedings of the 17th International Conference on Methods and Models in Automation and Robotics 978-1-4673-2123-5 409 414 Szczecin West Pomeranian University of Technology 2012