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Algorithm for solving polynomial algebraic Riccati equations and its application
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SYSNO ASEP 0389180 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title Algorithm for solving polynomial algebraic Riccati equations and its application Author(s) Augusta, Petr (UTIA-B) RID
Augustová, Petra (UTIA-B) RID, ORCIDNumber of authors 2 Source Title Cybernetics and Physics. - : Rossiiskaya Akademiya Nauk - ISSN 2223-7038
Roč. 1, č. 4 (2012), s. 237-242Number of pages 6 s. Publication form Online - E Language eng - English Country RU - Russian Federation Keywords Numerical algorithms ; algebraic Riccati equation ; spatially distributed systems ; optimal control Subject RIV BC - Control Systems Theory R&D Projects GPP103/12/P494 GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2013
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