Balanced realization of non-minimal MIMO discrete-time systems

DOI10.1080/00207729408928951zbMath0790.93094OpenAlexW2000949061MaRDI QIDQ4282820

A. H. Bamani, Rabah W. Aldhaheri

Publication date: 14 March 1994

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

Full work available at URL: https://doi.org/10.1080/00207729408928951

zbMATH Keywords

discrete systemsbalanced reduced modelobservability gramiansordered Schur decomposition

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55)

Related Items (1)

H₂ optimal model order reduction on the Stiefel manifold for the MIMO discrete system by the cross Gramian

Cites Work

• Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
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• Model reduction via balanced realizations: an extension and frequency weighting techniques
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• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Model reduction via balanced state space representations
• Model reduction using the Routh stability criterion and the Padé approximation technique
• A Schur method for balanced-truncation model reduction
• Singular perturbational approximations for discrete-time balanced systems
• Model order reduction via real Schur-form decomposition

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