An iterative algorithm to solve periodic Riccati differential equations with an indefinite quadratic term

Yantao Feng*, Brian D.O. Anderson

*Corresponding author for this work

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

    1 Citation (Scopus)

    Abstract

    An iterative algorithm to solve periodic Riccati differential equations (PRDE) with an indefinite quadratic term is proposed. In our algorithm, we replace the problem of solving a PRDE with an indefinite quadratic term by the problem of solving a sequence of PRDEs with a negative semidefinite quadratic term which can be solved by existing methods. The global convergence is guaranteed and a proof is given.

    Original languageEnglish
    Title of host publicationProceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages339-344
    Number of pages6
    ISBN (Print)9781424431243
    DOIs
    Publication statusPublished - 2008
    Event47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico
    Duration: 9 Dec 200811 Dec 2008

    Publication series

    NameProceedings of the IEEE Conference on Decision and Control
    ISSN (Print)0743-1546
    ISSN (Electronic)2576-2370

    Conference

    Conference47th IEEE Conference on Decision and Control, CDC 2008
    Country/TerritoryMexico
    CityCancun
    Period9/12/0811/12/08

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