Title:
Stability_2D_Face_Matrix
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Description: The program can test the stability of 2-D face of an interval matrix.
By relying on a two-dimensional (2-D) face test, Ref [1,2] obtained a necessary and sufficient condition for the robust Hurwitz and Schur stability of interval matrices. Ref [1,2] revealed that it is impossible that there are some isolated unstable points in the parameter space of the matrix family, so the stability of exposed 2-D faces of an interval matrix guarantees stability of the matrix family. This program provides the examples to demonstrate the applicability of the robust stability test of interval matrices in Ref [1, 2].
Remarks:
(1) The 2-D face of an interval matrix is Hurwitz stable, if and only if the maximum real part of the eigenvalues of the 2-D face of the interval matrix is smaller than 0 [1].
(2) An interval matrix is Hurwitz stable, if and only if all the 2-D faces of the interval matrix is Hurwitz stable.
(3) The 2-D face of an interval matrix is Schur stable, if and only if the maxi
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File list (Check if you may need any files):
Stability_2D_Face_Matrix\license.txt
........................\Stability_2D_Face_Matrix.m
Stability_2D_Face_Matrix
