The definition material radius of stability
V. V. Dicusar1, N. V. Zubov2, S .V. Zubov3
| Annotation | In 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. |
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| Keywords | matrix, 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)
