Stability Test of 2-D Face of an Interval Matrix Matlab script

Publisher review:
Stability Test of 2-D Face of an Interval Matrix can test the stability of 2-D face of an interval matrix. The program can test the stability of 2-D face of an interval matrix. Copyright (C) Yang XIAO, Beijing Jiaotong University, Aug.2, 2007, E-Mail: yxiao@bjtu.edu.cn.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 maximum absolute of the eigenvalues of all the 2-D faces of the interval matrix is smaller than 1 [1].(4) An interval matrix is Schur stable, if and only if all the 2-D face of the interval matrix is Schur stable.(5) To determine the stability of interval matrix, needs to test all the 2-D 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 – 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. Requirements: · MATLAB Release: R13
Operating system:
Windows / Linux / Mac OS / BSD / Solaris

DOWNLOAD STABILITY TEST OF 2-D FACE OF AN INTERVAL MATRIX NOW!

Before you Download
Scan your PC for Windows errors!

Samsung launched the Premium Music Hub

Samsung finally gives consumers multiple audio streaming countries promised a while. Premium Music Hub allows users access to over 19 million songs, along with other useful functions.

Posted on: 30 May 2012 13:02 by A. Brown

This could be the first photos of iPhone 5

IPhone\'s case came online in a few pictures that confirm rumors of a larger screen. This could be the first photos of the next iPhone, but nothing is really safe to Apple announcement.

Posted on: 30 May 2012 12:58 by A. Brown

IE 10 for Windows 8, comes with Adobe Flash support

After criticism received at Metro version of Internet Explorer 10 , initially offered no support for Adobe Flash technology, Microsoft has taken measures to correct this problem by working directly with Adobe to integrate the necessary components into the

Posted on: 25 May 2012 10:36 by A. Brown

Windows 8: boot to fast to furious

Last year began to circulate on the Internet videos where Windows 8 systems boot in 7 seconds. Unfortunately, from this performance derives some problems.

Posted on: 25 May 2012 07:28 by A. Brown