Nonlinearity in \(H^ \infty\)-control theory, causality in the commutant lifting theorem, and extension of intertwining operators

DOI10.1007/BF01261204zbMath0838.93023OpenAlexW4235142531MaRDI QIDQ1900713

Caixing Gu, Allen Tannenbaum, Ciprian Foias

Publication date: 4 June 1996

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01261204

zbMATH Keywords

interpolationnonlineardiscrete-timeoptimization problemcommutant lifting theorem\(H^ \infty\)-control theorycausal compensators

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) (H^infty)-control (93B36) Operator-theoretic methods (93B28) Dilations, extensions, compressions of linear operators (47A20)

Cites Work

• Generalized interpolation in control theory
• The commutant lifting approach to interpolation problems
• Interpolation problems in nest algebras
• Causality in commutant lifting theory
• On a causal linear optimization theorem
• Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses
• Generalized Interpolation in H ∞
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