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

Michael Gil’

doi:10.32323/ujma.747109

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

Michael Gil’

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	94-99
Number of pages	6
Journal	Universal Journal of Mathematics and Applications
Volume	2
Issue number	2
DOIs	https://doi.org/10.32323/ujma.747109
State	Published - 1 Jan 2019

Keywords

Discrete time switched systems
Hilbert space
Joint spectral radius

ASJC Scopus subject areas

Numerical Analysis
Analysis
Applied Mathematics
Geometry and Topology

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10.32323/ujma.747109

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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.",

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

Abstract

Keywords

ASJC Scopus subject areas

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