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

  • Zahreddine Z
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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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APA

Zahreddine, Z. (2003). Matrix measure and application to stability of matrices and interval dynamical systems. International Journal of Mathematics and Mathematical Sciences, 2003(2), 75–85. https://doi.org/10.1155/s0161171203202295

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