On the stabilization of bilinear systems via constant feedback

Rob Luesink, Henk Nijmeijer

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    Abstract

    We study the problem of stabilization of a bilinear system via a constant feedback. The question reduces to an eigenvalue problem on the pencil A+α0B of two matrices. Using the idea of simultaneous triangularization of the matrices involved, some easily checkable conditions for the solvability of this question are obtained. Algorithms for checking these conditions are given and illustrated by a few examples.
    Original languageEnglish
    Pages (from-to)457-474
    JournalLinear algebra and its applications
    Volume122-12
    DOIs
    Publication statusPublished - 1989

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