786 citations · 2.4k across the 106 of their papers we have counts for
5 papers · 1 filter
The norm as the differential gain of a -dominant system
Alberto Padoan, Fulvio Forni, Rodolphe Sepulchre
The differential gain of a linear, time-invariant, -dominant system is shown to coincide with the norm of its transfer function ,…
Dissipativity analysis of negative resistance circuits
Felix A. Miranda-Villatoro, Fulvio Forni, Rodolphe Sepulchre
This paper deals with the analysis of nonlinear circuits that interconnect passive elements (capacitors, inductors, and resistors) with nonlinear resistors exhibiting a range of $\…
Geometric Matrix Midranges
Cyrus Mostajeran, Christian Grussler, Rodolphe Sepulchre
We define geometric matrix midranges for positive definite Hermitian matrices and study the midrange problem from a number of perspectives. Special attention is given to the midran…
Dominance margins for feedback systems
Alberto Padoan, Fulvio Forni, Rodolphe Sepulchre
The paper introduces notions of robustness margins geared towards the analysis and design of systems that switch and oscillate. While such phenomena are ubiquitous in nature and in…
The geometry of rest-spike bistability
Giuseppe Ilario Cirillo, Rodolphe Sepulchre
Morris-Lecar model is arguably the simplest dynamical model that retains both the slow-fast geometry of excitable phase portraits and the physiological interpretation of a conducta…