Matrix measure and application to stability of matrices and interval dynamical systems

Ziad Zahreddine

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-11

Abstract:

Using some properties of the matrix measure, we obtain a general condition for the stability of a convex hull of matrices that will be applied to study the stability of interval dynamical systems. Some classical results from stability theory are reproduced and extended. We present a relationship between the matrix measure and the real parts of the eigenvalues that make it possible to obtain stability criteria.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:937084

DOI: 10.1155/S0161171203202295

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