Optimal approximation of high-order systems subject to polynomial inputs

DOI10.1080/00207177708928535zbMath0383.93005OpenAlexW2056272851MaRDI QIDQ4163034

P. Bertrand, Jean-Marie Siret, G. Michailesco

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1080/00207177708928535

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Large-scale systems (93A15) Model systems in control theory (93C99)

Related Items (3)

A new two-step iterative method for optimal reduction of linear SISO systems ⋮ Complexity reduction through a Schur-based decomposition for reachability analysis of linear time-invariant systems ⋮ Time-domain simplification of scalar unstable systems

Cites Work

• Least squares model reduction using step response
• On optimal approximation of high-order linear systems by low-order models
• Representation of linear dynamical systems by aggregated models
• Least squares reduction of linear systems using impulse response
• A Rapidly Convergent Descent Method for Minimization
• Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix
• Approximation of discrete linear systems
• On the approximation of multiple input-multiple output constant linear systems†

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