Noncommuting Multidimensional Realization Theory: Minimality, Reachability, and Observability

DOI10.1109/TAC.2004.835582zbMath1365.93080OpenAlexW2012110213MaRDI QIDQ5273903

Raffaello D'Andrea, Carolyn L. Beck

Publication date: 12 July 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2004.835582

Mathematics Subject Classification ID

Observability (93B07) Algebraic methods (93B25) Realizations from input-output data (93B15)

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Notes on minimal realizations of multidimensional systems ⋮ Bounded real lemma for structured noncommutative multidimensional linear systems and robust control ⋮ Equivalent realizations for uncertain systems with an IQC uncertainty description ⋮ 3-D modelling of rectangular circuits as the particular class of spatially interconnected systems on the plane ⋮ A geometric approach for reachability and observability of linear switched impulsive systems ⋮ Common eigenvector approach to exact order reduction for Roesser state-space models of multidimensional systems ⋮ Balanced truncation for temporal- and spatial-LPV interconnected systems based on the full block S-procedure ⋮ Structure-preserving model reduction for spatially interconnected systems with experimental validation on an actuated beam ⋮ Eigenvalue trim approach to exact order reduction for Roesser state-space model of multidimensional systems

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