Zeroth orderH∞norm approximation of multivariable systems

DOI10.1080/01630569308816509zbMath0810.93025OpenAlexW2111992122MaRDI QIDQ4293286

Davut Kavranoğlu

Publication date: 4 July 1994

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

Full work available at URL: https://doi.org/10.1080/01630569308816509

zbMATH Keywords

model reductionHankel singular valuesminimal balanced realization\(H_ \infty\) norm approximationall-pass transfer function

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) (H^infty)-control (93B36) Eigenvalue problems (93B60) Minimal systems representations (93B20)

Related Items (8)

H_∞model reduction for discrete time-delay systems: delay-independent and dependent approaches ⋮ Interpolatory \(H_\infty \) model reduction ⋮ H_∞norm approximation of discrete-time systems by constant matrices ⋮ ConstantL_∞norm approximation of complex rational functions ⋮ Optimal \(H_ \infty\) model reduction via linear matrix inequalities: continuous- and discrete-time cases ⋮ An augmented Lagrangian method for the optimal \(H_\infty\) model order reduction problem ⋮ \(H_{\infty }\) model reduction for discrete-time singular systems ⋮ Characterization of the solution to the optimal \(H_{\infty}\) model reduction problem

Cites Work

• 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
• Trace bounds on the solution of the algebraic matrix Riccati and Lyapunov equation
• ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEM

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