Algorithm for solving polynomial algebraic Riccati equations and its application

0389180 - ÚTIA 2013 RIV RU eng J - Článek v odborném periodiku
Augusta, Petr - Augustová, Petra
Algorithm for solving polynomial algebraic Riccati equations and its application.
Cybernetics and Physics. Roč. 1, č. 4 (2012), s. 237-242. ISSN 2223-7038
Grant CEP: GA ČR GPP103/12/P494
Institucionální podpora: RVO:67985556
Klíčová slova: Numerical algorithms * algebraic Riccati equation * spatially distributed systems * optimal control
Kód oboru RIV: BC - Teorie a systémy řízení
http://lib.physcon.ru/doc?id=8b4876d6a57d

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.
Trvalý link: http://hdl.handle.net/11104/0218070