Umfang:
1 Online-Ressource (xxviii, 1019 Seiten)
,
Illustrationen
ISBN:
9781009024921
Serie:
Encyclopedia of mathematics and its applications 183
Inhalt:
The authors explain in this work a new approach to observing and controlling linear systems whose inputs and outputs are not fixed in advance. They cover a class of linear time-invariant state/signal system that is general enough to include most of the standard classes of linear time-invariant dynamical systems, but simple enough that it is easy to understand the fundamental principles. They begin by explaining the basic theory of finite-dimensional and bounded systems in a way suitable for graduate courses in systems theory and control. They then proceed to the more advanced infinite-dimensional setting, opening up new ways for researchers to study distributed parameter systems, including linear port-Hamiltonian systems and boundary triplets. They include the general non-passive part of the theory in continuous and discrete time, and provide a short introduction to the passive situation. Numerous examples from circuit theory are used to illustrate the theory.
Anmerkung:
Literaturverzeichnis: Seite [994]-1004
Weitere Ausg.:
ISBN 9781316519677
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Arov, Damir Z., 1934 - Linear state/signal systems Cambridge : Cambridge University Press, 2022 ISBN 9781316519677
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Lineares System
;
Lineares zeitinvariantes System
;
Kontrolltheorie
;
Zustandsraum
;
Hausdorff-Raum
;
Trajektorie
DOI:
10.1017/9781009024921
