Realization theory in Hilbert space for a class of transfer functions

DOI10.1016/0022-1236(75)90009-9zbMath0304.93008OpenAlexW1988070046MaRDI QIDQ1217051

Paul A. Fuhrmann

Publication date: 1975

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(75)90009-9

Mathematics Subject Classification ID

Controllability (93B05) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Realizations from input-output data (93B15)

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On stochastic realization theory, Completely J -positive linear systems of finite order, Unnamed Item, Realization theory for symmetric systems, On generalized Hankel operators induced by sums and products, Functions of class \(\Pi\)

Cites Work

• Unnamed Item
• Unnamed Item
• Translation invariant spaces
• Exact controllability and observability and realization theory in Hilbert space
• Discrete time systems, operator models, and scattering theory
• A functional calculus in Hilbert space based on operator valued analytic functions
• Cyclic vectors and invariant subspaces of the backward shift operator
• On the spectra of some translation invariant spaces
• On two problems concerning linear transformations in Hilbert space
• Shifts on Hilbert spaces.
• $H^2 $-Functions and Infinite-Dimensional Realization Theory
• On realization of linear systems and applications to some questions of stability
• On the Corona Theorem and its Application to Spectral Problems in Hilbert Space