Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897797 | Linear Algebra and its Applications | 2018 | 22 Pages |
Abstract
In their recent result Hu and Mitsui proved that any exponentially stable nonautonomous linear difference equation can be reduced via suitable change of variables to equivalent linear difference equations whose coefficient matrices have spectral norm which is less then 1. In the present paper, we prove that this statement holds under weaker assumption that the nonautonomous linear difference equation is (strongly) nonuniformly exponentially stable. Moreover, we also establish corresponding results in the case of strong nonuniform exponential dichotomies.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Davor DragiÄeviÄ,