On the number of controllable linear systems over a finite field

zbMath0678.93024MaRDI QIDQ1124570

S. H. Smith

Publication date: 1989

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

controllable systems

Mathematics Subject Classification ID

Controllability (93B05) Linear systems in control theory (93C05)

Related Items (7)

Reachability of Random Linear Systems over Finite Fields ⋮ The number of linear transformations defined on a subspace with given invariant factors ⋮ Polynomial matrices, splitting subspaces and Krylov subspaces over finite fields ⋮ Enumerating partial linear transformations in a similarity class ⋮ Counting zero kernel pairs over a finite field ⋮ Unimodular polynomial matrices over finite fields ⋮ Probability estimates for reachability of linear systems defined over finite fields

Cites Work

• Invariance and system theory: algebraic and geometric aspects
• Linear multivariable control. A geometric approach
• Invariant Description of Linear, Time-Invariant Controllable Systems
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