Schur Stability Test of 2-D Polynomials

The program can test the Schur stability of 2-D Polynomials.

Description

Schur Stability Test of 2-D Polynomials
Copyright (C) Yang XIAO, Beijing Jiaotong University, Aug.25, 2007, E-Mail: [e-mail].

The stability of 2-D discrete systems (2-D IIR filters and 2-D ARMA models) can be determined by the Schur stability of characteristic polynomials of the systems [1-5].
The characteristic polynomials can be expressed as a 2-D Polynomial in s-z domain: B(z1,z2)=[1 z1^(-1) z1^(-2)]*B*[1 z2(-1) z2^(-2)]'.
This program derived from the main results of Ref. [1-5], and it can test the Schur stability of 2-D Polynomials.

Ref:
[1] XIAO Yang; Unbehauen, R.; New stability test algorithm for two-dimensional digital filters, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Volume 45, Issue 7, July 1998 Page(s):739 - 741
[2] Yang Xiao; Unbehauen, R.; Xiyu Du; A finite test algorithm for 2D Schur polynomials based on complex Lyapunov equation, Proceedings of the 1999 IEEE International Symposium on Circuits and Systems, 1999. ISCAS '99. Volume 3, 30 May-2 June 1999 Page(s):339 - 342 vol.3
[3] Yang Xiao; Unbehauen, R.; Xiyu Du; A necessary condition for Schur stability of 2D polynomials [digital filters], Proceedings of the 1999 IEEE International Symposium on Circuits and Systems (ISCAS '99), 1999. Volume 3, 30 May-2 June 1999 Page(s):439 - 442 vol.3
[4] Yang Xiao; Unbehauen, R.; Xiyu Du; Schur stability of polytopes of bivariate polynomials, Electronics, The 6th IEEE International Conference on Circuits and Systems, 1999. Proceedings of ICECS '99. Volume 3, 5-8 Sept. 1999 Page(s):1269 - 1272 vol.3
[5] Y. Xiao, Stability Analysis of Multidimensional Systems, Shanghai Science and Technology Press, Shanghai, 2003.
The papers [1-4] can be downloaded from Web site of IEEE Explore.

• MATLAB release: MATLAB 6.5 (R13)