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

Middle Volga Mathematical Society Journal

The definition material radius of stability

V. V. Dicusar1, N. V. Zubov2, S .V. Zubov3

AnnotationIn this work is looking off sufficiently classes of matrixes stability on Vagevskiy, 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 - $(P+P^{T})/2$. This result is allows to define material raduis 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 of The computing center family A.A. Dorodnichina, Moscow, zubovnv@mail.ru.

2Professor of The computing center family A.A. Dorodnichina, Moscow, zubovnv@mail.ru.

3Associate of faculty Applied Mathematics - Process Control SPbGU, Saint-Petersburg State University, Saint-Petersburg; zubovnv@mail.ru.

Citation: V. V. Dicusar , N. V. Zubov , S .V. Zubov , "[The definition material radius of stability]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:4 (2010) 246–249 (In Russian)