On the stabilization of bilinear systems via constant feedback


Luesink, Rob and Nijmeijer, Henk (1989) On the stabilization of bilinear systems via constant feedback. Linear Algebra and its Applications, 122-12 . pp. 457-474. ISSN 0024-3795

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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.
Item Type:Article
Copyright:© 1989 Elsevier
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/70543
Official URL:https://doi.org/10.1016/0024-3795(89)90662-9
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