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• W2171600577 abstract "In various problems of control theory, non-autonomous and multivalued dynamical systems, wavelet theory and other fields of mathematics information about the rate of growth of matrix products with factors taken from some matrix set plays a key role. One of the most prominent quantities characterizing the exponential rate of growth of matrix products is the so-called joint or generalized spectral radius. In the work some explicit a priori estimates for the joint spectral radius with the help of the generalized Gelfand formula are obtained. These estimates are based on the notion of the measure of irreducibility (quasi-controllability) of matrix sets proposed previously by A. Pokrovskii and the author." @default.
• W2171600577 created "2016-06-24" @default.
• W2171600577 creator A5031685246 @default.
• W2171600577 date "2010-04-01" @default.
• W2171600577 modified "2023-10-16" @default.
• W2171600577 title "On explicit a priori estimates of the joint spectral radius by the generalized Gelfand formula" @default.
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• W2171600577 doi "https://doi.org/10.1007/s12591-010-0010-1" @default.
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