
Stability Test of 2D Face of an Interval Matrix 1.0 File ID: 81771 


 Stability Test of 2D Face of an Interval Matrix 1.0 License: Shareware File Size: 10.0 KB Downloads: 3
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Stability Test of 2D Face of an Interval Matrix 1.0 Description 

Description: The program can test the stability of 2D face of an interval matrix. Copyright (C) Yang XIAO, Beijing Jiaotong University, Aug.2, 2007, EMail: yxiao@bjtu.edu.cn. By relying on a twodimensional (2D) 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 2D 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 2D face of an interval matrix is Hurwitz stable, if and only if the maximum real part of the eigenvalues of the 2D face of the interval matrix is smaller than 0 [1]. (2) An interval matrix is Hurwitz stable, if and only if all the 2D faces of the interval matrix is Hurwitz stable. (3) The 2D face of an interval matrix is Schur stable, if and only if the maximum absolute of the eigenvalues of all the 2D faces of the interval matrix is smaller than 1 [1]. (4) An interval matrix is Schur stable, if and only if all the 2D face of the interval matrix is Schur stable. (5) To determine the stability of interval matrix, needs to test all the 2D faces of matrices. Ref: [1] Yang Xiao; Unbehauen, R., Robust Hurwitz and Schur stability test for interval matrices, Proceedings of the 39th IEEE Conference on Decision and Control, 2000. Volume 5, Page(s):4209 ddeOCt 4214 [2] XIAO Yang, Stability Analysis of Multidimensional Systems, Shanghai Science and Technology Press, Shanghai, 2003. The paper [1] can be downloaded from Web site of IEEE Explore.
License: Shareware Related: determine, Absolute, unbehauen, proceedings, Robust, smaller, eigenvalues, demonstrate, Examples O/S:BSD, Linux, Solaris, Mac OS X File Size: 10.0 KB Downloads: 3


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