Differentially passive circuits that switch and oscillate
Abstract
The concept of passivity is central to analyze circuits as interconnections of passive components. We illustrate that when used differentially, the same concept leads to an interconnection theory for electrical circuits that switch and oscillate as interconnections of passive components with operational amplifiers (op-amps). The approach builds on recent results on dominance and p-passivity aimed at generalizing dissipativity theory to the analysis of non-equilibrium nonlinear systems. Our paper shows how those results apply to basic and well-known nonlinear circuit architectures. They illustrate the potential of dissipativity theory to design and analyze switching and oscillating circuits quantitatively, very much like their linear counterparts.
Cite
@article{arxiv.1804.04626,
title = {Differentially passive circuits that switch and oscillate},
author = {Felix A. Miranda-Villatoro and Fulvio Forni and Rodolphe Sepulchre},
journal= {arXiv preprint arXiv:1804.04626},
year = {2018}
}
Comments
6 pages, 10 figures. Submitted to Second Conference on Modelling,Identification and Control of Nonlinear Systems, IFAC MICNON 2018