4 papers
State-space fading memory
Gustave Bainier, Antoine Chaillet, Rodolphe Sepulchre +1
The fading-memory (FM) property captures the progressive loss of influence of past inputs on a system's current output and has originally been formalized by Boyd and Chua in an ope…
A superposition approach for the ISS Lyapunov-Krasovskii theorem with pointwise dissipation
Andrii Mironchenko, Fabian Wirth, Antoine Chaillet +1
We show that the existence of a Lyapunov-Krasovskii functional (LKF) with pointwise dissipation (i.e. dissipation in terms of the current solution norm) suffices for input-to-state…
Disruption of parkinsonian brain oscillations
Cédric Join, Jakub OrÅowski, Antoine Chaillet +3
Deep brain stimulation (DBS) is an advanced surgical treatment for the symptoms of Parkinson's disease (PD), involving electrical stimulation of neurons within the basal ganglia re…
Global Stabilization of Chemostats with Nonzero Mortality and Substrate Dynamics
Iasson Karafyllis, Epiphane Loko, Miroslav Krstic +1
In "chemostat"-type population models that incorporate substrate (nutrient) dynamics, the dependence of the birth (or growth) rate on the substrate concentration introduces nonline…