Passivity and electric circuits: a behavioral approach
Elsevier for IFAC
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We present the element extraction approach to electric circuit analysis and synthesis using the behavioral framework. Explicit descriptions are obtained of the behavior and the driving-point behavior of a general circuit comprising resistors, inductors, capacitors, transformers, and gyrators (an RLCTG circuit). It is shown that the internal currents and voltages are always properly eliminable to obtain a driving-point behavior which is the set of locally integrable (weak) solutions to a linear differential equation. We also review a recently introduced trajectory level definition of passivity, and we show that a behavior is passive if and only if it is the driving-point behavior of an RLCTG circuit.
This research was conducted while the author was the Henslow research fellow at Fitzwilliam College, University of Cambridge, U.K., supported by the Cambridge Philosophical Society, http://www.cambridgephilosophicalsociety.org.
This is the author accepted manuscript. The final version is available from Elsevier via the DOI in this record.
Vol. 50, Issue 1, pp. 15500 - 15505