Convergent algorithms for frequency weighted \(L_{2}\) model reduction

DOI10.1016/S0167-6911(97)00022-4zbMath0901.93009MaRDI QIDQ1391337

James Lam, Wei-Yong Yan, Xie, Lihua

Publication date: 22 July 1998

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

zbMATH Keywords

optimizationlinear systemsKalman filtersreduced-order model\(L_{2}\) norm

Mathematics Subject Classification ID

System structure simplification (93B11)

Related Items (5)

A parameterization of reduced stable models and controllers ⋮ Optimal time-weightedH₂model reduction for Markovian jump systems ⋮ On the stability of a reduced-order filter based on dominant singular value decomposition of the system dynamics ⋮ Design of optimal reduced order \({\mathcal H}_ 2\) filters. ⋮ Frequency-weighted ℋ₂-optimal model order reduction via oblique projection

Cites Work

• Unnamed Item
• Identification and rational \(L^ 2\) approximation: A gradient algorithm
• A new algorithm for \(L_ 2\) optimal model reduction
• Shock wave solution of molecular kinetic equation for source flow problem
• The optimal projection equations for model reduction and the relationships among the methods of Wilson, Skelton, and Moore

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