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

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Universal Journal of Mathematics and Applications
Volume:2 Issue:2
A Bound for the Joint Spectral Radius of Operators in a Hilbert Space

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

Authors : Michael GİL`

Pages : 94-99

Doi:10.32323/ujma.543952

View : 12 | Download : 8

Publication Date : 2019-06-28

Article Type : Research Paper

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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