ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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The material radius of stability of matrix system

A. V. Zubov1, S. V. Zubov2

AnnotationIn this work is looking off sufficiently classes of matrixes stability on Vagevsky, i. e. stability matrixes $P$ for that symmetrical matrix $P+P^{T}$ also stability. For this family of matrixes is describes, that they material radius of stability is appears smaller own number of matrix - $(P+P^{T})\backslash 2$. This result is allows to define material radius of stability <<over stability>> matrixes, i. e. they ia appears the matrixes stability on Vashevskiy.
Keywordsmatrix, stability, material radius, spectral norma, in stationary system

1Professor chair theory of control; SPbGU, t. Saint-Petersburg; ddemidova@mail.ru

2Docent chair theory of control; SPbGU, t. Saint-Petersburg; ddemidova@mail.ru

Citation: A. V. Zubov , S. V. Zubov , "[The material radius of stability of matrix system]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:2 (2015) 96–99 (In Russian)