Comparing digital implementation via the bilinear and step-invariant transformations.

DOI10.1016/J.AUTOMATICA.2003.08.010zbMath1048.93017OpenAlexW2068581206WikidataQ60513638 ScholiaQ60513638MaRDI QIDQ1428706

Tongwen Chen, Guo-Feng Zhang

Publication date: 29 March 2004

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2003.08.010

zbMATH Keywords

metricGraphSampled-data systemsBilinear transformation\(\ell_p\)-induced normsStep-invariant transformation

Mathematics Subject Classification ID

Sampled-data control/observation systems (93C57) Transformations (93B17) Digital control/observation systems (93C62)

Cites Work

• Zeros of sampled systems
• Limiting zero distribution of sampled systems
• The graph metric for unstable plants and robustness estimates for feedback stability
• Pointwise gap metrics on transfer matrices
• Stability of the limiting zeros of sampled-data systems with zero-and first-order holds
• Sampling zeros and the Euler-Frobenius polynomials
• Asymptotic properties of the best sampled-data control performance
• Input-output stability of sampled-data systems

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