Solution modules and system equivalence

DOI10.1080/00207178008922891zbMath0469.93036OpenAlexW2170596104MaRDI QIDQ3924032

Dieter Prätzel-Wolters, Diederich Hinrichsen

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1080/00207178008922891

zbMATH Keywords

observabilitycontrollabilitylinear systemsordinary differential operatorstrict system equivalencepolynomial matrix methods

Mathematics Subject Classification ID

Controllability (93B05) Canonical structure (93B10) Observability (93B07) Transformations (93B17) Algebraic methods (93B25)

Related Items (13)

Smooth/impulsive linear systems: axiomatic description ⋮ Underlying algebraic framework of equivalence relations on linear systems ⋮ On the state of behaviors ⋮ Local system equivalence ⋮ Stability theory for high order equations ⋮ Time-varying polynomial matrix systems ⋮ Regularity of distributional differential algebraic equations ⋮ On behavior homomorphisms and system equivalence ⋮ \(T\)-observers ⋮ Matrix fractions and strict system equivalence ⋮ Time-varying linear systems and invariants of system equivalence ⋮ A study of behaviors ⋮ On some special features which are peculiar to discrete time behaviors with trajectories on \({\mathbb Z}_{+}\)

Cites Work

• Linear multivariable systems
• Notes on strict system equivalence
• ALGEBRAIC STRUCTURE OF LINEAR DYNAMICAL SYSTEMS, I. THE MODULE OF Σ
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