- Universal Journal of Mathematics and Applications
- Vol: 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 Gil'
Pages : 94-99
Doi:10.32323/ujma.543952
View : 9 | Download : 6
Publication Date : 2019-06-28
Article Type : Research
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