On the solution space of discrete time AR-representations over a finite time horizon

DOI10.1016/j.laa.2003.11.026zbMath1175.15017OpenAlexW2103409198MaRDI QIDQ1826816

Nicholas P. Karampetakis

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.11.026

zbMATH Keywords

discrete-time systemsbehaviourminimal indiceselementary divisorsautoregressive representations

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (5)

Closed form solution for the equations of motion for constrained linear mechanical systems and generalizations: an algebraic approach ⋮ A new notion of equivalence for discrete time AR representations ⋮ Observability of linear discrete-time systems of algebraic and difference equations ⋮ Construction of algebraic and difference equations with a prescribed solution space ⋮ Unnamed Item

Cites Work

• From time series to linear system. I: Finite dimensional linear time invariant systems
• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• Paradigms and puzzles in the theory of dynamical systems
• Greatest common divisor via generalized Sylvester and Bezout matrices
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