Positive definiteness and stability of parametric interval matrices
Numerical Analysis
2017-09-05 v1
Abstract
We investigate positive definiteness, Hurwitz stability and Schur stability of parametric interval matrices. We give a verifiable sufficient condition for positive definiteness of parametric interval matrices with non-linear dependencies. We also give several sufficient and necessary conditions for stability of symmetric parametric interval matrices with affine-linear dependencies. The presented results extend the results on positive definiteness and stability of interval matrices. In addition, we provide a formula for the radius of stability of symmetric parametric interval matrices.
Cite
@article{arxiv.1709.00853,
title = {Positive definiteness and stability of parametric interval matrices},
author = {Iwona Skalna},
journal= {arXiv preprint arXiv:1709.00853},
year = {2017}
}