On the Stability of a class of Polytopes of third order square matrices and stability radius

In this work we investigate the stability properties of a convex symmetric timeinvariant third order matrix's polytope depending on a real positive parameter $r$. We apply the obtained results to the calculation of the real stability radius of a third order matrix under a certain class of affin...

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Main Author: Vázquez Silva, Efrén
Format: Artículo
Language: Español
Published: 2015
Online Access: http://revistas.ucr.ac.cr/index.php/matematica/article/view/206
http://hdl.handle.net/10669/12847
Summary: In this work we investigate the stability properties of a convex symmetric timeinvariant third order matrix's polytope depending on a real positive parameter $r$. We apply the obtained results to the calculation of the real stability radius of a third order matrix under a certain class of affine perturbations