Estimate of a Domain where One Eigenvalue Exists for Interval Parameter Matrices
Dong-Ning ZHANG, Masami Saeki, Kazuaki Ando · Transactions of the Society of Instrument and Control Engineers · 1992
In this paper, we present a method of estimating a domain on the complex plane where only one eigenvalue of an interval parameter matrix exists.A sufficient condition for the existence of such an eigenvalue is given based on the Gershgorin's theorem.This condition is represented as an equivalent condition that the convex combination of two matrices becomes an M-matrix.A method for checking the condition is shown by utilizing the property of M-matrices.