Spectrum localization of regular matrix polynomials and functions
ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 333-350.

Voir la notice de l'article dans Electronic Library of Mathematics

Summary: This paper is devoted to the spectrum localization problem for regular matrix polynomials and functions. Sufficient conditions are proposed for spectrum placement in a wide class of regions bounded by analytical curves. These conditions generalize the known linear matrix inequalities (LMI) approaches to stability analysis and pole placement of polynomial matrices. In addition, a method of robust spectrum placement is developed in the form of the LMI systems for a parametric set of matrix polynomials.
Classification : 15A22, 26C10
Mots-clés : matrix polynomial, eigenvalue, spectrum localization, linear matrix inequality, robust stability 
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     author = {Mazko, A.G.},
     title = {Spectrum localization of regular matrix polynomials and functions},
     journal = {ELA. The Electronic Journal of Linear Algebra},
     pages = {333--350},
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     volume = {20},
     year = {2010},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a29/}
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Mazko, A.G. Spectrum localization of regular matrix polynomials and functions. ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 333-350. https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a29/