Pα-matrices and Lyapunov scalar stability

Daniel Hershkowitz, N. Mashal

    Research output: Contribution to journalArticlepeer-review


    For partitions α of {1,…,n}, the classes of Pα -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 Pα-matrix. Implication relations between Lyapunov scalar stability and H-stability are discussed.
    Original languageAmerican English
    Pages (from-to)39-47
    StatePublished - 1998

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