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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…
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…
Forward completeness implies bounded reachable sets for time-delay systems on the state space of essentially bounded measurable functions
Lucas Brivadis, Antoine Chaillet, Andrii Mironchenko +1
We consider time-delay systems with a finite number of delays in the state space . In this framework, we show that forward completeness implies the boun…
Adaptive observer and control of spatiotemporal delayed neural fields
Lucas Brivadis, Antoine Chaillet, Jean Auriol
An adaptive observer is proposed to estimate the synaptic distribution between neurons asymptotically from the measurement of a part of the neuronal activity and a delayed neural f…
The ISS framework for time-delay systems: a survey
Antoine Chaillet, Iasson Karafyllis, Pierdomenico Pepe +1
At the occasion of Eduardo D. Sontag's 70 th birthday, we provide here an overview of the tools available to study input-to-state stability (ISS) and related notions for time-delay…
Growth conditions for global exponential stability and exp-ISS of time-delay systems under point-wise dissipation
Iasson Karafyllis, Pierdomenico Pepe, Yuan Wang +1
For time-delay systems, it is known that global asymptotic stability is guaranteed by the existence of a Lyapunov-Krasovskii functional that dissipates in a point-wise manner along…