Using the Fredholm resolvent for computing the ℋ2-norm of linear periodic systems

DOI10.1080/00207179.2010.498060zbMath1217.34020OpenAlexW2139892376MaRDI QIDQ3058326

Efim N. Rosenwasser, Bernhard P. Lampe

Publication date: 19 November 2010

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

Full work available at URL: https://doi.org/10.1080/00207179.2010.498060

zbMATH Keywords

periodic systemsFredholm integral equations of the second kindapproximations\(H_2\) normparametric transfer functions

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Linear ordinary differential equations and systems (34A30) Integral operators (47G10) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (2)

The linear Fredholm integral equations with functionals and parameters ⋮ Stability analysis and stabilisation in linear continuous-time periodic systems by complex scaling

Cites Work

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• Optimal control of non-stationary differential linear repetitive processes
• Operational description and statistical analysis of linear periodic systems on the unbounded interval \(-\infty<t<\infty\)
• The Periodic Lyapunov Equation
• Trace formula of linear continuous-time periodic systems via the harmonic Lyapunov equation
• Statistical analysis of stable FDLCP systems by parametric transfer matrices

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