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

Efrén Vázquez Silva ^[1]
1. [1] Universidad de Holguín
  
  Universidad de Holguín
  
  Cuba
Localización: XVII Congreso de Ecuaciones Diferenciales y Aplicaciones ; VII Congreso de Matemática Aplicada: Salamanca, 14-28 septiembre 2001 / coord. por Luis Ferragut Canals, Anastasio Pedro Santos Yanguas, 2001, ISBN 8469961446, págs. 785-786
Idioma: inglés
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Resumen
- In this work we investigate the stability properties of a convex symmetric time-invariant third order matrix’s polytope depending on a real positive parameter r. We use the well known Routh-Hurwitz criterion in order to investigate the stability properties of the considred polytope which is an extension of the third order matrix intervals considered in a previous work, and so we apply the obtained results to the calculation of the real stability radius of a third order matrix under certain class of affine perturbations. Moreover, we compare our new method with the existing possibilities for the calculation of the real stability radius of the matrix under structured perturbation.