KW Models for (Multivariate) Linear Differential Systems

DOI10.1137/16M1101507zbMath1381.93034arXiv1606.07260OpenAlexW2964107670MaRDI QIDQ4605435

Vakhtang Lomadze

Publication date: 22 February 2018

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07260

zbMATH Keywords

graded moduleproper representationlinear differential systemhomogeneous homomorphismKW model

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Minimal systems representations (93B20) Algebraic methods (93B25)

Cites Work

• Proper representations of (multivariate) linear differential systems
• Converting high order linear PDEs to first order
• Multidimensional constant linear systems
• A remark on Willems' trajectory characterization of linear controllability
• The PBH test for multidimensional LTID systems
• Paradigms and puzzles in the theory of dynamical systems

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