State for 2-D systems

DOI10.1016/0024-3795(89)90683-6zbMath0679.93002OpenAlexW2035468939MaRDI QIDQ1823199

Paula Rocha, Jan C. Willems

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90683-6

zbMATH Keywords

deterministic Markovian-like propertyN-D systems

Mathematics Subject Classification ID

Algebraic methods (93B25) General systems (93A10)

Related Items (14)

Every discrete 2D autonomous system admits a finite union of parallel lines as a characteristic set ⋮ Multidimensional behaviors: the state-space paradigm ⋮ Converting high order linear PDEs to first order ⋮ On characteristic cones of discrete \(n\)D autonomous systems: theory and an algorithm ⋮ A behavioral interpretation of Livšic systems ⋮ Control systems analysis for the Fornasini-Marchesini 2D systems model – progress after four decades ⋮ Closed subspaces, polynomial operators in the shift, and ARMA representations ⋮ On the reduction of high order linear PDEs to first order ⋮ Optimal control of discrete-time hybrid automata under safety and liveness constraints ⋮ Canonical computational forms for AR 2-D systems ⋮ Markov properties for systems described by PDEs and first-order representations ⋮ Unnamed Item ⋮ Multidimensional constant linear systems ⋮ On Minimality of Initial Data Required to Uniquely Characterize Every Trajectory in a Discrete $n$-D System

Cites Work

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• From time series to linear system. I: Finite dimensional linear time invariant systems
• A discrete state-space model for linear image processing
• State-space realization theory of two-dimensional filters
• Two-dimensional discrete Markovian fields

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