A generalization of the bounded real lemma

DOI10.1016/S0024-3795(03)00492-0zbMath1032.15013OpenAlexW2071305069WikidataQ124968771 ScholiaQ124968771MaRDI QIDQ1410713

Ákos László

Publication date: 15 October 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(03)00492-0

zbMATH Keywords

algebraic Riccati equationHamiltoniandissipation inequalitybounded real lemmaNevanlinna-Pick interpolationDouglas theorem

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) (H^infty)-control (93B36) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35)

Related Items (1)

State–space solution to the ℋ︁₋/ℋ︁_∞ fault‐detection problem

Cites Work

• Unnamed Item
• A course in \(H_{\infty}\) control theory
• Existence and comparison theorems for algebraic Riccati equations for continuous- and discrete-time systems
• A bisection method for computing the \(H_{\infty}\) norm of a transfer matrix and related problems
• Geometric state-space theory in linear multivariable control: A status report
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems

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