Time-autonomy and time-controllability of discrete multidimensional behaviours

DOI10.1080/00207179.2012.673135zbMath1282.93083OpenAlexW2110004602MaRDI QIDQ5745599

Ulrich Oberst, Martin Scheicher

Publication date: 30 January 2014

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

Full work available at URL: https://doi.org/10.1080/00207179.2012.673135

zbMATH Keywords

time-autonomytime-controllabilityextended modulediscrete multidimensional behaviour

Mathematics Subject Classification ID

Controllability (93B05) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Operator-theoretic methods (93B28) Algebraic methods (93B25) Control/observation systems in abstract spaces (93C25) Controllability, observability, and system structure (93B99)

Related Items (7)

The computation of purity filtrations over commutative Noetherian rings of operators and their application to behaviors ⋮ Partial interconnection and observer-based dead-beat control of two-dimensional behaviors ⋮ Lyapunov functions for time-relevant \(2D\) systems, with application to first-orthant stable systems ⋮ Algebraic characterization of autonomy and controllability of behaviours of spatially invariant systems ⋮ Controllability up to negligible trajectories of discrete multidimensional behaviours ⋮ The asymptotic stability of stable and time-autonomous discrete multidimensional behaviors ⋮ A Generalized Tracking and Disturbance Rejection Problem for Multidimensional Behaviors

Cites Work

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• Dead-beat estimation problems for 2D behaviors
• Time-relevant stability of 2D systems
• Multidimensional constant linear systems
• Notes on the definition of behavioural controllability
• The canonical Cauchy problem for linear systems of partial difference equations with constant coefficients over the complete \(r\)-dimensional integral lattice \(\mathbb{Z}^ r\)
• Time-autonomy and time-controllability of 2-D behaviours that are tempered in the spatial direction
• On the decomposition of two-dimensional behaviors
• Multidimensional Discrete Stability by Serre Categories and the Construction and Parametrization of Observers via Gabriel Localizations
• Conditions for time-controllability of behaviours
• A Behavioral Approach to Control of Distributed Systems
• Zero-Time-Controllability and Dead-Beat Control of Two-Dimensional Behaviors
• Dead-Beat Control in the Behavioral Approach
• The constructive solution of linear systems of partial difference and differential equations with constant coefficients
• Extension modules in behavioral linear systems theory
• Time-autonomy versus time-controllability

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