Maximal stability region of a perturbed nonnegative matrix

Haut, Bertrand;Bastin, Georges;Van Dooren, Paul
(2009) International Journal of Robust and Nonlinear Control — Vol. 19, n° 3, p. 364-376 (2009)

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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 set of admissible perturbations such that the global matrix remains stable. Theoretical bounds are derived and an algorithm for constructing this set is presented. As an example, this algorithm is applied to the regulation of water flow in open channels. Copyright (C) 2008 John Wiley & Sons. Ltd.
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Haut, B., Bastin, G., & Van Dooren, P. (2009). Maximal stability region of a perturbed nonnegative matrix. International Journal of Robust and Nonlinear Control, 19(3), 364-376. https://doi.org/10.1002/rnc.1321 (Original work published 2009)