H∞norm approximation of discrete-time systems by constant matrices

DOI10.1080/01630569508816612zbMath0827.93022OpenAlexW1982235927MaRDI QIDQ4844887

Davut Kavranoğlu

Publication date: 9 October 1995

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569508816612

zbMATH Keywords

discrete-timeallpass imbedding\(H_ \infty\) normapproximation by constant matrices

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) (H^infty)-control (93B36) Minimal systems representations (93B20) Best constants in approximation theory (41A44)

Related Items (2)

Interpolatory \(H_\infty \) model reduction ⋮ Optimal \(H_ \infty\) model reduction via linear matrix inequalities: continuous- and discrete-time cases

Cites Work

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• Realization of systems with internal passivity and symmetry constraints
• Characterization of the solution to the optimal \(H_{\infty}\) model reduction problem
• Optimal Hankel-norm model reductions: Multivariable systems
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Model reduction via balanced state space representations
• Zeroth orderH_∞norm approximation of multivariable systems
• A computational scheme for H∞ model reduction
• Trace bounds on the solution of the algebraic matrix Riccati and Lyapunov equation

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