Taylor approximations of multidimensional linear differential systems

DOI10.1080/00207179.2015.1118661zbMath1338.93094OpenAlexW2220495960MaRDI QIDQ2807928

Vakhtang Lomadze

Publication date: 25 May 2016

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

Full work available at URL: https://doi.org/10.1080/00207179.2015.1118661

zbMATH Keywords

Taylor approximationmultidimensional systempolynomial-exponential trajectoryproper kernel representation

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) System structure simplification (93B11)

Cites Work

• Multidimensional constant linear systems
• Canonical state representations and Hilbert functions of multidimensional systems
• On duality for partial differential (and difference) equations
• Variations on the fundamental principle for linear systems of partial differential and difference equations with constant coefficients
• A note on Ehrenpreis' fundamental principle
• Characterization of linear differential systems (in several variables)
• ``Reduced Polynomial Matrices” in Several Variables
• Paradigms and puzzles in the theory of dynamical systems
• Singular linear behaviors and their AR-representations

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