P-matrices and Lyapunov scalar stability

    Student thesis: Thesis

    Abstract

    For partitions α of f1;:::;ng, the classes of P α -matrices are defined, unifying the classes of the real P -matrices and of the real positive definite matrices. Lyapunov scalar stability of matrices is defined and characterized, and it is shown also that every real Lyapunov α-scalar stable matrix is a P α -matrix. Implication relations between Lyapunov scalar stability and H-stability are discussed.
    Date of Award1998
    Original languageAmerican English
    Awarding Institution
    • Technion-Israel Institute of Technology
    SupervisorDaniel Hershkowitz (Supervisor)

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