786 citations · 2.4k across the 106 of their papers we have counts for
39 papers · 1 filter
Passive and reciprocal linear time-and-space-invariant systems
Brayan M. Shali, Rodolphe Sepulchre
Reciprocity is a fundamental symmetry property observed across many physical domains, including acoustics, elasticity, electromagnetics, and thermodynamics. In systems and control…
Symmetry in linear physical systems
Arjan van der Schaft, Rodolphe Sepulchre, Tom Chaffey
Physical systems with symmetry arise abundantly in applications, and are endowed with interesting mathematical structures. The present paper focusses on linear reciprocal and input…
On the threshold of excitable systems: An energy-based perspective
Rodolphe Sepulchre, Guanchun Tong
A fundamental characteristic of excitable systems is their ability to exhibit distinct subthreshold and suprathreshold behaviors. Precisely quantifying this distinction requires a…
Linear time-and-space-invariant relaxation systems
Tihol Ivanov Donchev, Brayan M. Shali, Rodolphe Sepulchre
This paper generalizes the physical property of relaxation from linear time-invariant (LTI) to linear time-and-space-invariant (LTSI) systems. It is shown that the defining feature…
A homotopy theorem for incremental stability
Thomas Chaffey, Andrey Kharitenko, Fulvio Forni +1
A theorem is proved to verify incremental stability of a feedback system via a homotopy from a known incrementally stable system. A first corollary of that result is that increment…
Scaled Relative Graphs for Nonmonotone Operators with Applications in Circuit Theory
Jan Quan, Brecht Evens, Rodolphe Sepulchre +1
The scaled relative graph (SRG) is a powerful graphical tool for analyzing the properties of operators, by mapping their graph onto the complex plane. In this work, we study the SR…