The state space isomorphism theorem for discrete-time infinite-dimensional systems

DOI10.1007/S00020-015-2251-4zbMath1331.47012OpenAlexW1008913977MaRDI QIDQ907871

Mark R. Opmeer, Amine N. Chakhchoukh

Publication date: 26 January 2016

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

Full work available at URL: http://opus.bath.ac.uk/45798/1/2015IEOT.pdf

zbMATH Keywords

observabilitycontrollabilitytopological vector spacesminimal systems representations

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Canonical structure (93B10) Minimal systems representations (93B20) Operator-theoretic methods (93B28) Control/observation systems in abstract spaces (93C25) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Barrelled spaces, bornological spaces (46A08) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Cites Work

• \(S\)-spaces and the open mapping theorem
• Some remarks on reachability of infinite-dimensional linear systems
• Realization theory of continuous-time dynamical systems
• Criterion of unitary similarity of minimal passive scattering systems with a given transfer function
• Linear Decomposable Systems in Continuous Time
• Realization theory of infinite-dimensional linear systems. Part I
• Tests for the similarity of all minimal passive realizations of a fixed transfer function (scattering or resistance matrix)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The state space isomorphism theorem for discrete-time infinite-dimensional systems