Model Reduction by Balanced Truncation for Systems with Nuclear Hankel Operators

DOI10.1137/110846981zbMath1292.93073OpenAlexW1984813610MaRDI QIDQ5494920

Chris Guiver, Mark R. Opmeer

Publication date: 30 July 2014

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: http://opus.bath.ac.uk/40288/1/GuiverOpmeer.pdf

zbMATH Keywords

Hankel operatoroptimal Hankel norm approximationmodel reductionrealizationbalanced realizationinfinite-dimensional system

Mathematics Subject Classification ID

System structure simplification (93B11) Operator-theoretic methods (93B28) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Approximation by rational functions (41A20) Control/observation systems in abstract spaces (93C25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Realizations from input-output data (93B15)

Related Items (7)

Infinite-dimensional bilinear and stochastic balanced truncation with explicit error bounds ⋮ Diffusive systems and weighted Hankel operators ⋮ Compensator design for the monodomain equations with the FitzHugh−Nagumo model ⋮ Balancing transformations for infinite-dimensional systems with nuclear Hankel operator ⋮ Balanced truncation model reduction of a nonlinear cable-mass PDE system with interior damping ⋮ 2 Balancing-related model reduction methods ⋮ The generalised singular perturbation approximation for bounded real and positive real control systems

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