Probability-one homotopy algorithms for solving the coupled Lyapunov equations arising in reduced-order \(H^2/H^\infty\) modeling, estimation, and control
type: Item
instance of: scholarly article
title: Probability-one homotopy algorithms for solving the coupled Lyapunov equations arising in reduced-order \(H^2/H^\infty\) modeling, estimation, and control
zbMATH Open document ID: 1028.93011
DOI: 10.1016/S0096-3003(00)00059-X
author: Dennis S. Bernstein
author: Layne T. Watson
author: Y. William Wang
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: The paper deals with the application of homotopy methods for solving a system of coupled matrix Lyapunov equations arising in \(H^2\) and \(H^2/H^\infty\) model reduction and synthesis. Under the requirements of transversality and boundedness of the corresponding homotopy map, a global convergence of probability-one homotopy schemes is analysed.
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 65H20
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 93B11
Mathematics Subject Classification ID: 93B50
zbMATH DE Number: 1860934
zbMATH Keywords: \(H^2\) synthesis
zbMATH Keywords: \(H^\infty\) model reduction
zbMATH Keywords: homotopy methods
zbMATH Keywords: coupled matrix Lyapunov eauations
zbMATH Keywords: global convergence
reviewed by: Mihail M. Konstantinov
MaRDI profile type: Publication
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full work available at URL: s0096-3003(00)00059-x
OpenAlex ID: W2028439098
description: scientific article; zbMATH DE number 1860934