Continuous time LTI systems under lossless positive real transformations: open-loop balanced representation and truncated reduced-order models

DOI10.1080/00207179.2016.1208368zbMath1367.93135OpenAlexW2470340534MaRDI QIDQ5348297

Luigi Fortuna, Mattia Frasca, Maria G. Xibilia, Arturo Buscarino

Publication date: 15 August 2017

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2016.1208368

zbMATH Keywords

model order reductionopen-loop balanced realizationcontinuous time LTI systemslossless positive real transformation

Mathematics Subject Classification ID

Linear systems in control theory (93C05) System structure simplification (93B11) Transformations (93B17) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (4)

Design of reduced-order multiple observers for uncertain systems with unknown inputs ⋮ Positive-real systems under lossless transformations: invariants and reduced order models ⋮ The structure of characteristic values for classes of linear time-invariant systems ⋮ Necessary and sufficient conditions for lossless negative imaginary systems

Cites Work

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• Invariance of characteristic values and \(L_\infty\) norm under lossless positive real transformations
• Invariance of second-order modes under frequency transformation in 2-D separable denominator digital filters
• Realization of systems with internal passivity and symmetry constraints
• Principal component analysis in linear systems: Controllability, observability, and model reduction

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