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

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  • Ziad Zahreddine

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.

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  • Ziad Zahreddine, 2003. "Matrix measure and application to stability of matrices and interval dynamical systems," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-11, January.
    • Handle: RePEc:hin:jijmms:937084
    DOI: 10.1155/S0161171203202295
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