An alternative proof of the Barker, Berman, Plemmons (BBP) result on diagonal stability and extensions

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An alternative proof of the Barker , Berman , Plemmons ( BBP ) result on diagonal stability and extensions - Corrected Version

The original version of this paper appeared in Linear Algebra and its Applications, volume 430, pp.34 40, 2009. Here we correct a slight gap in the statement and proof of Lemma 3.1 in that paper. We revisit the theorem of Barker, Berman and Plemmons on the existence of a diagonal quadratic Lyapunov function for a stable linear time-invariant (LTI) dynamical system [1]. We use recently derived r...

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2009

ISSN: 0024-3795

DOI: 10.1016/j.laa.2008.06.037