A simplified stability test for 1-D discrete systems

DOI10.1016/0016-0032(86)90066-9zbMath0588.93062OpenAlexW2087051970MaRDI QIDQ1073763

P. S. Kamat

Publication date: 1986

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(86)90066-9

zbMATH Keywords

Chebyshev polynomialsstability tests1-D discrete systemsz-domain continued fraction expansion

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Transformations (93B17) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Continued fractions; complex-analytic aspects (30B70) Stability of control systems (93D99)

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A simplified stability test for 1-D discrete systems

Cites Work

• Implementation of a stability test of 1-D discrete system based on Schussler's theorem and some consequent coefficient conditions
• Direct design of recursive digital filters based on a new stability test
• Eigenvalue localization for the Tikhonova model of crystal growth
• A simplified stability test for 1-D discrete systems
• Realizability-preserving transformations for digital and analog filters
• Counting Zeros of Real Polynomials within the Unit Disk
• A generalised test for discrete system stability
• A New Z Domain Continued Fraction Expansion
• Some new results on discrete system stability
• An algorithm for testing stability of discrete systems
• A simplified stability test for discrete systems using a new Z-domain continued fraction method

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