Passivity and electric circuits: a behavioral approach
Hughes, TH
Date: 18 October 2017
Journal
IFAC-PapersOnLine
Publisher
Elsevier for IFAC
Publisher DOI
Abstract
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 ...
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.
Mathematics and Statistics
Faculty of Environment, Science and Economy
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