On an iterative algorithm to compute the positive stabilizing solution of generalized algebraic Riccati equations

Yantao Feng*, Brian D.O. Anderson

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    Abstract

    An iterative algorithm to solve a kind of generalized algebraic Riccati equations (GARE) in LQ stochastic zero-sum game problems is proposed. In our algorithm, we replace the problem of solving a GARE with an indefinite quadratic term by the problem of solving a sequence of GARE with a negative semidefinite quadratic term which can be solved by existing methods. Under some appropriate conditions, we prove that our algorithm is globally convergent.

    Original languageEnglish
    Title of host publication2009 Chinese Control and Decision Conference
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages3530-3534
    ISBN (Electronic)978-1-4244-2723-9
    ISBN (Print)978-1-4244-2722-2
    DOIs
    Publication statusPublished - 2009
    Event2009 Chinese Control and Decision Conference, CCDC 2009 - Guilin, China
    Duration: 17 Jun 200919 Jun 2009

    Publication series

    NameIEEE Chinese Control and Decision Conference
    ISSN (Print)1948-9439
    ISSN (Electronic)1948-9447

    Conference

    Conference2009 Chinese Control and Decision Conference, CCDC 2009
    Country/TerritoryChina
    CityGuilin
    Period17/06/0919/06/09

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