A nine-fold canonical decomposition for linear systems

DOI10.1080/00207178408933206zbMath0539.93007OpenAlexW2071065604MaRDI QIDQ3328356

H. Aling, Johannes M. Schumacher

Publication date: 1984

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://research.tilburguniversity.edu/en/publications/739ff20f-7b60-4ead-a966-8be249aad566

zbMATH Keywords

decompositiongeometric approachtransfer functionstructural invariantslattice diagramtransmission zerospoles and zerosnon-minimal proper systems

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Canonical structure (93B10) Transformations (93B17) Canonical forms, reductions, classification (15A21) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10) Model systems in control theory (93C99)

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Cites Work

• Smith-McMillan factorizations at infinity of rational matrix functions and their control interpretation
• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• Almost invariant subspaces: An approach to high gain feedback design--Part I: Almost controlled invariant subspaces
• Realizations in generalized state-space form for polynomial system matrices and the definitions of poles, zeros and decoupling zeros at infinity†
• Structure at inifinity of linear multivariable systems: A geometric approach
• Extended controllability and observability for linear systems
• On a time-domain characterization of the numerator polynomials of the Smith McMillan form
• The role of transmission zeros in linear multivariable regulators
• Poles and zeros of linear multivariable systems : a survey of the algebraic, geometric and complex-variable theory
• Linear Feedback—An Algebraic Approach
• The determination of structural properties of a linear multivariable system by operations of system similarity. 1. Strictly proper systems
• Structural Invariants of Linear Multivariable Systems
• The singular pencil of a linear dynamical system†
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