Title :
Hidden variables in dissipative systems
Author_Institution :
K.U. Leuven, Belgium
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;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Conference_Location :
Nassau
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1428655