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, ORCID}
Number of authors	2
Source Title	Cybernetics and Physics. - : Rossiiskaya Akademiya Nauk - ISSN 2223-7038 Roč. 1, č. 4 (2012), s. 237-242
Number 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

Number of the records: 1