DocumentCode
434592
Title
Hidden variables in dissipative systems
Author
Willems, Jan C.
Author_Institution
K.U. Leuven, Belgium
Volume
1
fYear
2004
fDate
17-17 Dec. 2004
Firstpage
358
Abstract
The relevance of hidden variables in dissipative systems is examined. A definition of a dissipative dynamical system is introduced in which the storage function does not need to be observable from the variables that enter into the supply rate. It is shown that a controllable system is dissipative if and only if it has an observable storage function, but that there are uncontrollable dissipative systems that do not have an observable storage function. Finally, we argue that unobservable storage functions are indispensable: they occur in physical systems, for example in electrical circuits and in Maxwell´s equations.
Keywords
observability; time-varying systems; Maxwell equations; dissipative dynamical systems; electrical circuits; hidden variables; observable storage function; Circuits; Control systems; Controllability; Differential equations; Electric variables control; Maxwell equations; Observability; Process control; Signal analysis; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Conference_Location
Nassau
ISSN
0191-2216
Print_ISBN
0-7803-8682-5
Type
conf
DOI
10.1109/CDC.2004.1428655
Filename
1428655
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