Bounded real and positive real balanced truncation for infinite-dimensional systems

DOI10.3934/mcrf.2013.3.83zbMath1258.93040OpenAlexW2045727150MaRDI QIDQ1941666

Mark R. Opmeer, Chris Guiver

Publication date: 21 March 2013

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2013.3.83

zbMATH Keywords

model reductioninfinite-dimensional systemwell-posed linear systembounded real balanced truncationpositive real truncation

Mathematics Subject Classification ID

Linear systems in control theory (93C05) System structure simplification (93B11) Operator-theoretic methods (93B28) Linear-quadratic optimal control problems (49N10) Control/observation systems in abstract spaces (93C25) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Related Items (3)

The infinite-dimensional standard and strict bounded real lemmas in continuous time: the storage function approach ⋮ Error bounds in the gap metric for dissipative balanced approximations ⋮ The generalised singular perturbation approximation for bounded real and positive real control systems

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