System reduction via truncated Hankel matrices

DOI10.1007/BF02551264zbMath0724.93012MaRDI QIDQ2277204

Xin Li, Charles K. Chui, Joseph D. Ward

Publication date: 1991

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

zbMATH Keywords

Hankel operatorsCF algorithms

Mathematics Subject Classification ID

System structure simplification (93B11) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Approximation by rational functions (41A20)

Related Items (4)

Hankel operators and best Hankel approximation on the half-plane ⋮ Rate of convergence of Schmidt pairs and rational functions corresponding to best approximants of truncated Hankel operators ⋮ On the structure of positive semi-definite finite rank general domain Hankel and Toeplitz operators in several variables ⋮ On the convergence rate of \(s\)-numbers of compact Hankel operators

Cites Work

• Unnamed Item
• On bounded bilinear forms
• The CF table
• On Completely Continuous Hankel Matrices
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Realisation and Approximation of Linear Infinite-Dimensional Systems with Error Bounds
• Model reduction via balanced state space representations
• ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEM

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