Homotopy methods for solving the optimal projection equations for theH2reduced order model problem

DOI10.1080/00207179208934308zbMath0766.93009OpenAlexW1966196241WikidataQ30040172 ScholiaQ30040172MaRDI QIDQ4013333

Dragan Žigić, Dennis S. Bernstein, Layne T. Watson, Emmanuel G. jun. Collins

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1080/00207179208934308

zbMATH Keywords

model reductionhomotopy methodsoptimal projection equations

Mathematics Subject Classification ID

Related Items (7)

A program for solving the \(L_ 2\) reduced-order model problem with fixed denominator degree ⋮ A comparison of homotopies for alternative formulations of the \(L^ 2\) optimal model order reduction problem ⋮ Reduced-order models with delay ⋮ Design of reduced-order, H₂ optimal controllers using a homotopy algorithm ⋮ Contragredient transformations applied to the optimal projection equations ⋮ Projection properties of theL₂optimal reduced order model ⋮ Discussion on: ``UDU factored discrete-time Lyapunov recursions solve optimal reduced-order LQG problems

Uses Software

• HOMPACK

Cites Work

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• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Model reduction via balanced state space representations
• Model reduction for linear multivariable systems
• Optimal chained aggregation for reduced-order modeling†
• Component cost analysis of large scale systems

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