On the stabilization of bilinear systems via constant feedback

Rob Luesink; Henk Nijmeijer

doi:10.1016/0024-3795(89)90662-9

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 language	English
Pages (from-to)	457-474
Journal	Linear algebra and its applications
Volume	122-12
DOIs	https://doi.org/10.1016/0024-3795(89)90662-9
Publication status	Published - 1989

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title = "On the stabilization of bilinear systems via constant feedback",

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.",

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AB - 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.

U2 - 10.1016/0024-3795(89)90662-9

DO - 10.1016/0024-3795(89)90662-9

M3 - Article

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VL - 122-12

SP - 457

EP - 474

JO - Linear algebra and its applications

JF - Linear algebra and its applications

ER -

On the stabilization of bilinear systems via constant feedback

Abstract

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