Geodesic
Spectrum localization of regular matrix polynomials and functions
The electronic journal of linear algebra, Tome 20 (2010), pp. 333-350.

Voir la notice de l'article provenant de la source 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
Keywords: 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 = {The electronic journal of linear algebra},
     pages = {333--350},
     publisher = {mathdoc},
     volume = {20},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2010__20__a29/}
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Mazko, A.G. Spectrum localization of regular matrix polynomials and functions. The electronic journal of linear algebra, Tome 20 (2010), pp. 333-350. http://geodesic.mathdoc.fr/item/ELA_2010__20__a29/