Maximal nonnegative perturbation of a nonnegative matrix

Haut, Bertrand;Bastin, Georges;Van Dooren, Paul
(2006) 2nd Multidisciplinary International Symposium on Positive Systems (POSTA 2006) — Location: Grenoble(France) (30.August.2006)

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  • Haut, BertrandUCLouvain
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  • Bastin, Georgesorcid-logoUCLouvain
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  • Van Dooren, PaulUCLouvain
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Abstract
For a class of positive matrices A + K with a stable positive nominal part A and a structured positive perturbation part K, we address the problem of finding the largest admissible perturbation such that the global matrix remains stable. Theoretical bounds on the size of this set are derived and an algorithm for constructing a set of admissible perturbation is presented.
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Haut, B., Bastin, G., & Van Dooren, P. (2006). Maximal nonnegative perturbation of a nonnegative matrix. Lecture Notes in Control and Information Sciences, 341, 201-208. https://doi.org/10.1007/3-540-34774-7_26 (Original work published 2006)