A Bound for the Joint Spectral Radius of Operators in a Hilbert Space

Year 2019, Volume: 2 Issue: 2, 94 - 99, 28.06.2019

Michael Gil'

https://doi.org/10.32323/ujma.543952

Abstract

We suggest a bound for the joint spectral radius of a finite set of operators in a Hilbert space. In appropriate situations that bound enables us to avoid complicated calculations and gives a new explicit stability test for the discrete time switched systems. The illustrative example is given. Our results are new even in the finite dimensional case.

Keywords

Joint spectral radius , Hilbert space , Discrete time switched systems

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