Geometric conditions for generic structure of multivariable root-loci

DOI10.1016/0167-6911(83)90026-9zbMath0547.93032OpenAlexW2087826903MaRDI QIDQ799622

David H. Owens

Publication date: 1983

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: http://eprints.whiterose.ac.uk/76435/1/report%20227.pdf

zbMATH Keywords

asymptotic directionsinfinite zerosLaurent- series expansionmultivariable root-loci

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Pole and zero placement problems (93B55) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Dirichlet series, exponential series and other series in one complex variable (30B50) Model systems in control theory (93C99)

Cites Work

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• On the generic structure of multivariable root-loci†
• Geometric approach to analysis and synthesis of system zeros Part 1. Square systems
• The generalized Nyquist stability criterion and multivariable root loci
• Multivariate root loci: a unified approach to finite and infinite zeros
• On structural invariants and the root-loci of linear multivariable systems
• Structural Invariants of Linear Multivariable Systems

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