Positive definiteness and stability of parametric interval matrices

Iwona Skalna

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arXiv · 1709.00853

Positive definiteness and stability of parametric interval matrices

Iwona Skalna

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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.

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Iwona Skalna. 2017-09-04. Positive definiteness and stability of parametric interval matrices. https://arxiv.org/abs/1709.00853

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