Hamiltonians and Riccati equations for linear systems with unbounded control and observation operators

C. Wyss, Birgit Jacob, Heiko J. Zwart

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    In this paper we construct infinitely many selfadjoint solutions of the control algebraic Riccati equation using invariant subspaces of the associated Hamiltonian. We do this under the assumptions that the system operator is normal and has compact inverse and that the Hamiltonian possesses a Riesz basis of invariant subspaces.
    Original languageEnglish
    Pages (from-to)1518-1547
    Number of pages30
    JournalSIAM journal on control and optimization
    Issue number3
    Publication statusPublished - 2012


    • Algebraic Riccati equations
    • Hamiltonian operator
    • Infinite-dimensional system
    • Riescz
    • Invariant subspace

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