The material radius of stability of matrix system
A. V. Zubov1, S. V. Zubov2
Annotation | In 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. |
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Keywords | matrix, 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)