Discrete-time feedback systems: An operator theoretic approach

DOI10.1016/0196-8858(83)90006-4zbMath0522.93045OpenAlexW2029230147MaRDI QIDQ1056716

Avraham Feintuch

Publication date: 1983

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(83)90006-4

zbMATH Keywords

factorizationstable operatorscausal operatorfeedback systemHilbert resolution spaceleast square optimality

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Discrete-time control/observation systems (93C55) Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) Identification in stochastic control theory (93E12) Optimal stochastic control (93E20) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Control/observation systems in abstract spaces (93C25) Existence theories for problems in abstract spaces (49J27) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (1)

A commutant lifting theorem for triangular matrices with diverse applications

Cites Work

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• Basic optimal estimation and control problems in Hilbert space
• A Factorization problem and the problem of predicting non-stationary vector-valued stochastic processes
• Causality in Hilbert Space
• A basic optimization problem in linear systems

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