Convergent Ritz approximations of the set of stabilizing controllers

DOI10.1016/S0167-6911(98)00087-5zbMath0914.93053MaRDI QIDQ1285565

Arno Linnemann

Publication date: 28 April 1999

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

multivariable systemsorthonormal basescontroller parametrizationstate-space representationsRitz approximation\({\mathcal L}_{p}\) spacesdenseness of exponential sumslinear controller design

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05)

Related Items

Nonlinear observers for Lipschitz continuous systems with inputs ⋮ Nonlinear approximate observers for feedback control

Uses Software

• QDES

Cites Work

• A note on L\(_1\)-approximations by exponential polynomials and Laguerre exponential polynomials
• A connection between state-space and doubly coprime fractional representations
• Feedback system design: The fractional representation approach to analysis and synthesis
• Modern Wiener-Hopf design of optimal controllers--Part II: The multivariable case
• A unifying construction of orthonormal bases for system identification
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