On the regular implementability of \(nD\) systems

DOI10.1016/j.sysconle.2006.10.017zbMath1113.93049OpenAlexW2001431685MaRDI QIDQ875121

D. Napp Avelli, Harry L. Trentelman

Publication date: 11 April 2007

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2006.10.017

zbMATH Keywords

canonical controllerbehavioral control\(nD\) systemsregular implementability

Mathematics Subject Classification ID

Pole and zero placement problems (93B55)

Related Items (9)

Implementation of behavioral systems ⋮ Interconnections of \(\mathcal{L}^2\)-behaviors: lumped systems ⋮ A Note on Controlled Invariance for Behavioral nD Systems ⋮ A note on interconnections ⋮ Almost direct sum decomposition and implementation of 2D behaviors ⋮ Stabilization of discrete 2D behaviors by regular partial interconnection ⋮ Autonomous multidimensional systems and their implementation by behavioral control ⋮ Regular implementation in the space of compactly supported functions ⋮ A Generalized Tracking and Disturbance Rejection Problem for Multidimensional Behaviors

Cites Work

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• Multidimensional constant linear systems
• Achievable behavior of general systems
• The canonical controllers and regular interconnection
• The Lattice Structure of Behaviors
• Trajectory Control and Interconnection of 1D and nD Systems
• A Behavioral Approach to Control of Distributed Systems
• A Constructive Solution to Interconnection and Decomposition Problems with Multidimensional Behaviors
• A note on the direct sum decomposition of two-dimensional behaviors
• Stabilization, pole placement, and regular implementability
• Synthesis of dissipative systems using quadratic differential forms: Part I
• On the Parametrization of All Regularly Implementing and Stabilizing Controllers

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