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Necessary and sufficient conditions for robust stability of the convex-hull of matrices with rank-one uncertainty

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2 Author(s)
J. Collado ; FIME-UANL, San Nicolas de los Garza, Mexico ; R. Lozano

We present necessary and sufficient conditions for stability of the convex hull of stable matrices in which the difference of the generating matrices are rank-one. This result represents a time domain version of the well known “edge theorem”. An example illustrates the result

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American Control Conference, 2000. Proceedings of the 2000  (Volume:6 )

Date of Conference: