On balancing linear symmetric systems

DOI10.1080/00207728608926904zbMath0604.93013OpenAlexW2073819039MaRDI QIDQ3743194

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Publication date: 1986

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728608926904

zbMATH Keywords

singular value decompositionHankel matrixmodel reductionbalanced system

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Canonical structure (93B10) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Algebraic methods (93B25) Numerical computation of matrix norms, conditioning, scaling (65F35) Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21)

Related Items (4)

Balanced realization of non-minimal MIMO discrete-time systems ⋮ Structural sensitivity analysis via reduced-order analytical model ⋮ Balancing linear systems ⋮ Order estimation of AR and ARMA models

Cites Work

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• Dissipative dynamical systems. I: General theory
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Numerical linear algebra aspects of control design computations
• Linear time-variable systems: Balancing and model reduction
• The singular value decomposition: Its computation and some applications
• Principal component analysis in linear systems: Controllability, observability, and model reduction

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