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    On the stability of convex sums of rank-1 perturbed matrices


    Laffey, Thomas and Shorten, Robert N. and Ó Cairbre, Fiacre (2004) On the stability of convex sums of rank-1 perturbed matrices. Mathematical Proceedings of the Royal Irish Academy, 104A (1). pp. 99-105. ISSN 1393-7197

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    Abstract

    New compact conditions are obtained that guarantee stability of a convex sum of a pair of matrices. It is conjectured that these conditions are both necessary and sufficient for the stability of a pair of related convex sums. It is anticipated that the proof presented for a single pencil will be modified to yield conditions for both pencils simultaneously.

    Item Type: Article
    Keywords: stability; convex sums; rank-1 perturbed matrices;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 10090
    Depositing User: Dr. Fiacre O Cairbre
    Date Deposited: 11 Oct 2018 13:41
    Journal or Publication Title: Mathematical Proceedings of the Royal Irish Academy
    Publisher: Royal Irish Academy
    Refereed: Yes
    Funders: European Union Multi-Agent Control, Enterprise Ireland (EI)
    URI:

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