International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 2, Pages 75-85
doi:10.1155/S0161171203202295
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.