Ziad Zahreddine, "Matrix measure and application to stability of matrices and interval dynamical systems", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 937084, 11 pages, 2003. https://doi.org/10.1155/S0161171203202295
Matrix measure and application to stability of matrices and interval dynamical systems
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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