NDLI: Stability testing of two-dimensional discrete linear system polynomials by a two-dimensional tabular form

Content Provider	IEEE Xplore Digital Library
Author	Bistritz, Y.
Copyright Year	1992
Abstract	A new test for determining whether a bivariate polynomial does not vanish in the closed exterior of the unit bicircle (is stable) is developed. A stable bivariate polynomial is the key for stability of two-dimensional (2-D) recursive linear discrete systems. The 2-D stability test stems from a modified stability test for one-dimensional (1-D) systems that has been developed by the author. It consists of a 2-D table, a sequence of centro-symmetric matrices, and a set of accompanying necessary and sufficient conditions for 2-D stability imposed on it. The 2-D table is constructed by a three-term recursion of these matrices or corresponding bivariate polynomials. The minimal set of necessary and sufficient conditions for stability consists of testing two univariate polynomial, one before and one after completing the table, for no zeros outside and no zeros on the unit circle, respectively. A larger set of useful conditions that are necessary for 2D stability, and may indicate earlier instability, is also shown.
Starting Page	666
Ending Page	676
Page Count	11
File Size	266966
File Format	PDF
ISSN	10577122
Volume Number	46
Issue Number	6
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1999-06-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	System testing Linear systems Polynomials Two dimensional displays Sufficient conditions Multidimensional systems Digital filters Stability analysis Steady-state Signal processing
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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