Structure, Smith-MacMillan form and coprime MFDs of a rational matrix inside a region P =ω∪{∞}

DOI10.1080/00207178308933120zbMath0542.93010OpenAlexW2033079945MaRDI QIDQ3331049

A. I. G. Vardulakis, Nicos Karcanias

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1080/00207178308933120

zbMATH Keywords

Euclidean divisionproper rational functionscoprimeness of rational matricesmatrix fraction representationsSmith- MacMillan form

Mathematics Subject Classification ID

Factorization of matrices (15A23) Canonical structure (93B10) Minimal systems representations (93B20) Polynomials in real and complex fields: factorization (12D05) Algebraic methods (93B25) Divisibility, noncommutative UFDs (16U30) Canonical forms, reductions, classification (15A21)

Related Items (14)

On coprime rational function matrices ⋮ On the computation of proper, feedforward internally stabilizing and pole-placing compensators ⋮ Equivalence transformations of rational matrices and applications ⋮ Decentralized diagonal dynamic stabilization of linear multivariable systems ⋮ Structural Methods for Linear Systems: An Introduction ⋮ On the Stabilization of Singular, Strictly Proper Transfer Function Matrices ⋮ Simultaneous model matching and disturbance rejection with stability by state feedback ⋮ Necessary and sufficient condition for stability robustness under known additive perturbation ⋮ Feedback representation of precompensators: the general case ⋮ Feedback representation of precompensators: application to decoupling linear multi-input multi-output plants ⋮ On the stable exact model matching problem ⋮ Necessary and sufficient conditions for zero assignment by constant squaring down ⋮ Decoupling of linear multivariable systems by unity output feedback compensation ⋮ Minimal structure in the block decoupling problem with stability

Cites Work

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• Linear multivariable systems
• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• Feedback system design: The fractional representation approach to analysis and synthesis
• Algebraic and topological aspects of feedback stabilization
• Structure and Smith-MacMillan form of a rational matrix at infinity
• Algebraic design techniques for reliable stabilization
• Coprime Factorizations and Stability of Multivariable Distributed Feedback Systems
• Triangularization technique for the design of multivariable control systems

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