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arXiv · 1908.11193

Dissipativity analysis of negative resistance circuits

Felix A. Miranda-Villatoro·Fulvio Forni·Rodolphe Sepulchre
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Abstract

This paper deals with the analysis of nonlinear circuits that interconnect passive elements (capacitors, inductors, and resistors) with nonlinear resistors exhibiting a range of $\it{negative}$ resistance. Such active elements are necessary to design circuits that switch and oscillate. We generalize the classical passivity theory of circuit analysis to account for such non-equilibrium behaviors. The approach closely mimics the classical methodology of (incremental) dissipativity theory, but with dissipation inequalities that combine $\it{signed}$ storage functions and $\it{signed}$ supply rates to account for the mixture of passive and active elements.

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BibTeXRIS

Felix A. Miranda-Villatoro, Fulvio Forni, Rodolphe Sepulchre. 2019-08-26. Dissipativity analysis of negative resistance circuits. https://arxiv.org/abs/1908.11193

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