Local system equivalence

DOI10.1007/BF01704906zbMath0664.93012MaRDI QIDQ3815936

D. J. Cullen

Publication date: 1986

Published in: Mathematical Systems Theory (Search for Journal in Brave)

zbMATH Keywords

strict system equivalencestrong system equivalenceLocal system equivalencepolynomial realisations

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in real and complex fields: factorization (12D05) Algebraic methods (93B25) Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (3)

Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems ⋮ Local Wiener--Hopf factorization and indices over arbitrary fields ⋮ An algebraic condition for controllability at infinity

Cites Work

• Strong system equivalence (I)
• Strong system equivalence (II)
• An algebraic theory for design of controllers for linear multivariable systems--Part I: Structure matrices and feedforward design
• Solution modules and system equivalence
• On strict system equivalence and similarity†
• The transformation of strict system equivalence
• Notes on strict system equivalence
• Matrices of rational functions
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