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Algorithm for solving polynomial algebraic Riccati equations and its application

  1. 1.
    SYSNO ASEP0389180
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JOstatní články
    TitleAlgorithm for solving polynomial algebraic Riccati equations and its application
    Author(s) Augusta, Petr (UTIA-B) RID
    Augustová, Petra (UTIA-B) RID, ORCID
    Number of authors2
    Source TitleCybernetics and Physics. - : Rossiiskaya Akademiya Nauk - ISSN 2223-7038
    Roč. 1, č. 4 (2012), s. 237-242
    Number of pages6 s.
    Publication formOnline - E
    Languageeng - English
    CountryRU - Russian Federation
    KeywordsNumerical algorithms ; algebraic Riccati equation ; spatially distributed systems ; optimal control
    Subject RIVBC - Control Systems Theory
    R&D ProjectsGPP103/12/P494 GA ČR - Czech Science Foundation (CSF)
    Institutional supportUTIA-B - RVO:67985556
    AnnotationThe 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.
    WorkplaceInstitute of Information Theory and Automation
    ContactMarkéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
    Year of Publishing2013
Number of the records: 1  

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