Optimization problems in partially ordered Hilbert resolution spaces†

DOI10.1080/00207178208932937zbMath0515.93070OpenAlexW2068310023MaRDI QIDQ3663145

William A. Porter, Romano M. De Santis

Publication date: 1982

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178208932937

zbMATH Keywords

causal operatorsspectral factorizationsHilbert resolution spacemultidimensional filtering

Mathematics Subject Classification ID

Inference from stochastic processes and prediction (62M20) Filtering in stochastic control theory (93E11) Estimation and detection in stochastic control theory (93E10) Identification in stochastic control theory (93E12) Optimal stochastic control (93E20) Control/observation systems in abstract spaces (93C25) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (6)

Algorithms for fast multidimensional signal extraction ⋮ State representations form-D systems with generalized causality structures ⋮ Angular factorization of matrices ⋮ Operator factorization on partially ordered Hilbert resolution spaces ⋮ A constrained matrix factorization problem ⋮ Generalized Schur-Choleski factorization with applications to image processing

Cites Work

• Filtering theory for stochastic processes with two dimensional time parameter
• Multiple signal extraction by polynomial filtering
• Recursive causal linear filtering for two-dimensional random fields
• Basic optimal estimation and control problems in Hilbert space
• A basic optimization problem in linear systems

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