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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