Optimal Hankel norm model reductions and Wiener-Hopf factorization II: The non-canonical case

DOI10.1007/BF01195036zbMath0621.47021OpenAlexW1995126908MaRDI QIDQ1089884

André C. M. Ran, Joseph A. Ball

Publication date: 1987

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195036

zbMATH Keywords

Hankel operatorrational matrix functionHankel normmodel reduction problemprescribed McMillan degreeState space formulassymmetric Wiener-Hopf factorization

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items

Robust stabilizability of normalized coprime factors: the infinite-dimensional case, Hankel norm approximation of real symmetric rational matrix functions, Non-full-rank causal approximations of full-rank multivariate stationary processes with rational spectrum, Reduced-order controllers inH ∞-Optimal synthesis methods of the first kind

Cites Work

• Optimal Hankel-norm model reductions: Multivariable systems
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEM
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