Optimal Hankel norm approximation for the Pritchard-Salamon class of infinite-dimensional systems

DOI10.1007/BF01192150zbMath0990.93021MaRDI QIDQ5928438

Amol J. Sasane, Ruth F. Curtain

Publication date: 19 August 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

\(J\)-spectral factorizationinertia resultinfinite-dimensional Lyapunov equationslarge scale systemsoptimal Hankel norm approximationregular Pritchard-Salamon systems

Mathematics Subject Classification ID

System structure simplification (93B11) Operator-theoretic methods (93B28) Linear operator methods in interpolation, moment and extension problems (47A57) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Related Items

Representations and regularity of vector-valued right-shift invariant operators between half-line Bessel potential spaces ⋮ Stability radius of non-smooth Pritchard-Salamon systems and the algebraic Riccati equation ⋮ Sub-optimal Hankel norm approximation for the analytic class of infinite-dimensional systems ⋮ Hankel norm approximation for well-posed linear systems ⋮ Sub-optimal Hankel norm approximation problem: a frequency-domain approach ⋮ Nehari problems and equalizing vectors for infinite-dimensional systems ⋮ Well-posedness and admissible stabilizability for Pritchard-Salamon systems

Cites Work

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