A Simplified Derivation of the Zeheb-Walach 2-D Stability Test with Applications to Time-Delay Systems

John N. Chiasson; Stephen D. Brierley; E. Lee Bruce

doi:10.1109/TAC.1985.1103958

A Simplified Derivation of the Zeheb-Walach 2-D Stability Test with Applications to Time-Delay Systems

John N. Chiasson
, Stephen D. Brierley
, E. Lee Bruce

Electrical Engineering Department

University of Minnesota Twin Cities

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

Zeheb and Walach gave a stability test for N-D systems. For 2-D systems, a simpler derivation is presented here using the results of DeCarlo et al. It is then shown how the method may also be used to test for stability (independent of delay) of retarded time-delay systems.

Original language	English
Pages (from-to)	411-414
Number of pages	4
Journal	IEEE Transactions on Automatic Control
Volume	30
Issue number	4
DOIs	https://doi.org/10.1109/TAC.1985.1103958
State	Published - Apr 1985

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title = "A Simplified Derivation of the Zeheb-Walach 2-D Stability Test with Applications to Time-Delay Systems",

abstract = "Zeheb and Walach gave a stability test for N-D systems. For 2-D systems, a simpler derivation is presented here using the results of DeCarlo et al. It is then shown how the method may also be used to test for stability (independent of delay) of retarded time-delay systems.",

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AU - Chiasson, John N.

AU - Brierley, Stephen D.

AU - Bruce, E. Lee

PY - 1985/4

Y1 - 1985/4

N2 - Zeheb and Walach gave a stability test for N-D systems. For 2-D systems, a simpler derivation is presented here using the results of DeCarlo et al. It is then shown how the method may also be used to test for stability (independent of delay) of retarded time-delay systems.

AB - Zeheb and Walach gave a stability test for N-D systems. For 2-D systems, a simpler derivation is presented here using the results of DeCarlo et al. It is then shown how the method may also be used to test for stability (independent of delay) of retarded time-delay systems.

UR - https://www.scopus.com/pages/publications/0022044861

U2 - 10.1109/TAC.1985.1103958

DO - 10.1109/TAC.1985.1103958

M3 - Article

AN - SCOPUS:0022044861

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VL - 30

SP - 411

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JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 4

ER -

A Simplified Derivation of the Zeheb-Walach 2-D Stability Test with Applications to Time-Delay Systems

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