# Dissipativity analysis of negative resistance circuits

Miranda-Villatoro, FA and Forni, F and Sepulchre, R Dissipativity analysis of negative resistance circuits. (Unpublished)

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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.

Item Type: Article eess.SY eess.SY cs.SY math.DS math.OC 34C15, 34C25, 34C26, 34C55, 34C41, 34D45, 93C10 UNSPECIFIED Div F > Control Cron Job 04 Sep 2019 20:04 24 Oct 2019 13:32