TY - JOUR

T1 - Testing stability of 2-D discrete systems by a set of real 1-D stability tests

AU - Bistritz, Yuval

PY - 2004

Y1 - 2004

N2 - Stability of two-dimensional (2-D) discrete system a depends on whether a bivariate polynomial does not vanish in the closed exterior of the unit bi-circle. The paper shows a procedure that tests this 2-D stability condition by testing the stability of a finite collection of real univariate polynomials by a certain modified form of the author's one-dimensional (1-D) stability test. The new procedure is obtained by telepolation (interpolation) of a 2-D tabular test whose derivation was confined to using a real form of the underlying 1-D stability test. Consequently, unlike previous telepolation-based tests, the procedure requires the testing of real instead of complex univariate polynomials. The proposed test is the least-cost procedure to test 2-D stability with real polynomial 1-D stability tests and real arithmetic only.

AB - Stability of two-dimensional (2-D) discrete system a depends on whether a bivariate polynomial does not vanish in the closed exterior of the unit bi-circle. The paper shows a procedure that tests this 2-D stability condition by testing the stability of a finite collection of real univariate polynomials by a certain modified form of the author's one-dimensional (1-D) stability test. The new procedure is obtained by telepolation (interpolation) of a 2-D tabular test whose derivation was confined to using a real form of the underlying 1-D stability test. Consequently, unlike previous telepolation-based tests, the procedure requires the testing of real instead of complex univariate polynomials. The proposed test is the least-cost procedure to test 2-D stability with real polynomial 1-D stability tests and real arithmetic only.

UR - http://www.scopus.com/inward/record.url?scp=3843101575&partnerID=8YFLogxK

U2 - 10.1109/TCSI.2004.830679

DO - 10.1109/TCSI.2004.830679

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AN - SCOPUS:3843101575

SN - 1549-8328

VL - 51

SP - 1312

EP - 1320

JO - IEEE Transactions on Circuits and Systems I: Regular Papers

JF - IEEE Transactions on Circuits and Systems I: Regular Papers

IS - 7

ER -