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Maximal stability region of a perturbed nonnegative matrix
Author(s) -
Haut Bertrand,
Bastin Georges,
Van Dooren Paul
Publication year - 2009
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1321
Subject(s) - perturbation (astronomy) , class (philosophy) , stability (learning theory) , matrix (chemical analysis) , mathematics , set (abstract data type) , complex matrix , control theory (sociology) , mathematical optimization , computer science , physics , control (management) , artificial intelligence , chemistry , chromatography , quantum mechanics , machine learning , programming language
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 © 2008 John Wiley & Sons, Ltd.