Powers of parametric interval uncertain matrix

Abstract

This study addresses methods for finding lower and upper boundaries of powers of parametric interval uncertain matrix. Two results are presented. As the first result, a method to find the exact lower and upper boundaries of powers of single-parametric interval matrix is established. As the second result, the lower and upper boundaries of powers of general interval matrix are evaluated. Three numerical examples and one application example are presented to validate the method and analysis proposed in this study.