0398772 20240111140837.220131121235959.9 000327909800008 84887321339 10.1016/j.jfranklin.2013.05.021 18 s. E cav_un_epca*02537790016-003235010 (2013)2949-2966Elsevier spatially invariant system stabilisation multiple-input-multiple-output system, positive polynomial 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*0259382 Augustová Petra 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 http://library.utia.cas.cz/separaty/2013/TR/augusta-0398772.pdf http://dx.doi.org/10.1016/j.jfranklin.2013.05.021 1,03 MB GPP103/12/P494 GA ČR cav_un_auth*0284930 We concentrate on the linear spatially distributed time-invariant two-dimensional systems with multiple inputs and multiple outputs and with control action based on an array of sensors and actuators connected to the system. The system is described by the bivariate matrix polynomial fraction. Stabilisation of such systems is based on the relationship between stability of a bivariate polynomial and positiveness of a related polynomial matrix on the unit circle. Such matrices are not linear in the controller parameters, however, in simple cases, a linearising factorisation exists. It allows to describe the control design in the form of a linear matrix inequality. In more complicated cases, linear sufficient conditions are given. This concept is applied to a system with multiple outputs—a heat conduction in a long thin metal rod equipped with an array of temperature sensors and heaters, where heaters are placed in larger distances than sensors. 2014 BC 2 4 A 4a 20231122135917.7 RVO:67985556 http://hdl.handle.net/11104/0226296 AUTOMATIONCONTROLSYSTEMS|ENGINEERINGELECTRICALELECTRONIC|ENGINEERINGMULTIDISCIPLINARY|MATHEMATICSINTERDISCIPLINARYAPPLICATIONS 2.396 0.254 4.IV 0.00595 0.576 2546 197 1.046 ScienceCitationIndexExpanded Q1 54.215 84.584 Q2 Q2 2013 Soubory v repozitáři: augusta-0398772.pdf 84887321339 SCOPUS 000327909800008 WOS textový dokument 1,03 MB cav_un_epca*0253779 Journal of the Franklin Institute-Engineering and Applied Mathematics 0016-0032 1879-2693 Roč. 350 č. 10 2013 2949 2966 Elsevier