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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2015, Volume 17, Number 2, Pages 96–99 (Mi svmo542)

The material radius of stability of matrix system

A. V. Zubov, S. V. Zubov

Saint Petersburg State University

Abstract: 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.

Keywords: matrix, stability, material radius, spectral norma, in stationary system.

UDC: 517.929

Received: 17.07.2015



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© Steklov Math. Inst. of RAS, 2026