Reflections on Schur-Cohn matrices and Jury-Marden tables and classification of related unit circle zero location criteria

DOI10.1007/BF01187696zbMath0844.93070MaRDI QIDQ1908839

Yuval Bistritz

Publication date: 7 March 1996

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

zbMATH Keywords

discrete systemsstability tests

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Asymptotic stability in control theory (93D20) Pole and zero placement problems (93B55)

Related Items

Fraction-free unit circle stability tests ⋮ Correlation properties of the random linear high-order Markov chains ⋮ A fraction-free unit-circle zero location test for a polynomial with any singularity profile ⋮ Fraction-free computation of the unit-circle resultant with any singularity profile ⋮ Immittance-type tabular stability test for 2-D LSI systems based on a zero location test for 1-D complex polynomials

Cites Work

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• Stability tests for singular cases of discrete systems
• A circular stability test for general polynomials
• Computational aspects of deciding if all roots of a polynomial lie within the unit circle
• Generalized Bezoutians and families of efficient zero-location procedures
• The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations
• A note on the modified stability table for linear discrete time systems
• On another approach to the Schur-Cohn criterion
• Immittance-domain Levinson algorithms
• The Number of Zeros of a Polynomial in a Circle

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