Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415998 | Linear Algebra and its Applications | 2016 | 25 Pages |
Abstract
A result is presented describing the eigenvectors of a perturbed matrix, for a class of structured perturbations. One motivation for doing so is that positive eigenvectors of nonnegative, irreducible matrices are known to induce norms - acting much like Lyapunov functions - for linear positive systems, which may help estimate or control transient dynamics. The results apply to both discrete- and continuous-time linear positive systems. The theory is illustrated with several examples.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Chris Guiver, Dave Hodgson, Stuart Townley,