0389180 20240111140827.620130211235959.9 Algorithm for solving polynomial algebraic Riccati equations and its application 6 s. E cav_un_epca*03734582223-7038Cybernetics and Physics14 (2012)237-242Rossiiskaya Akademiya Nauk Numerical algorithms algebraic Riccati equation spatially distributed systems optimal control 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://lib.physcon.ru/doc?id=8b4876d6a57d 160 kB GPP103/12/P494 GA ČR cav_un_auth*0284930 The paper presents a numerical algorithm for solving algebraic Riccati equations with two-sided polynomials. In general, the solution is not a finite-order polynomial. Existence conditions for a finite-order solution are given. If these conditions do not hold, the non-finite-order solution is truncated, and the proposed algorithm returns a finite-order polynomial of an arbitrary high order. Illustrative examples are included. 2013 BC 2 RVO:67985556 http://hdl.handle.net/11104/0218070 2012 textový dokument 160 kB cav_un_epca*0373458 Cybernetics and Physics 2223-7038 Roč. 1 č. 4 2012 237 242 Rossiiskaya Akademiya Nauk