All solutions of the algebraic Riccati equation for the wave equation

C.R. Kuiper, Heiko J. Zwart

    Research output: Book/ReportReportOther research output


    The construction of the optimal control for a linear system with a known quadratic cost functional is done via the (unique) positive solution of the associated algebraic Riccati equation. However, the algebraic Riccati equation has many more solutions. In this report we construct all solutions for a specific algebraic Riccati equation. The algebraic Riccati equation that we study, is the one associated with the undamped wave equation with cost-criterion the total input energy plus the total kinetic energy.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Publication statusPublished - 1998


    • MSC-93C20
    • MSC-47A62
    • EWI-3273
    • MSC-49J20
    • MSC-47A70

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