786 citations · 2.4k across the 106 of their papers we have counts for
8 papers · 1 filter
Monotonicity on homogeneous spaces
Cyrus Mostajeran, Rodolphe Sepulchre
This paper presents a formulation of the notion of monotonicity on homogeneous spaces. We review the general theory of invariant cone fields on homogeneous spaces and provide a lis…
Strongly unimodal systems
Christian Grussler, Rodolphe Sepulchre
We investigate the property for an input-output system to map unimodal inputs to unimodal outputs. As a first step, we analyse this property for linear time-invariant (LTI) systems…
Geometric distance between positive definite matrices of different dimensions
Lek-Heng Lim, Rodolphe Sepulchre, Ke Ye
We show how the Riemannian distance on , the cone of real symmetric or complex Hermitian positive definite matrices, may be used to naturally define…
Neuromodulation of Neuromorphic Circuits
Luka Ribar, Rodolphe Sepulchre
We present a novel methodology to enable control of a neuromorphic circuit in close analogy with the physiological neuromodulation of a single neuron. The methodology is general in…
Positivity, monotonicity, and consensus on Lie groups
Cyrus Mostajeran, Rodolphe Sepulchre
Dynamical systems whose linearizations along trajectories are positive in the sense that they infinitesimally contract a smooth cone field are called differentially positive. The p…
Differentially passive circuits that switch and oscillate
Felix A. Miranda-Villatoro, Fulvio Forni, Rodolphe Sepulchre
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 interco…