58 citations · 223 across the 31 of their papers we have counts for
5 papers · 1 filter
Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy
Camille Pouchol, Jean Clairambault, Alexander Lorz +1
We consider a system of two coupled integro-differential equations modelling populations of healthy and cancer cells under therapy. Both populations are structured by a phenotypic…
Interaction Network, State Space and Control in Social Dynamics
Aylin Aydogdu, Marco Caponigro, Sean McQuade +4
In the present chapter we study the emergence of global patterns in large groups in first and second-order multi-agent systems, focusing on two ingredients that influence the dynam…
Observability properties of the homogeneous wave equation on a closed manifold
Emmanuel Humbert, Yannick Privat, Emmanuel Trélat
We consider the wave equation on a closed Riemannian manifold. We observe the restriction of the solutions to a measurable subset along a time interval with . It…
Geometric control condition for the wave equation with a time-dependent observation domain
Jérôme Le Rousseau, Gilles Lebeau, Peppino Terpolilli +1
We characterize the observability property (and, by duality, the controllability and the stabilization) of the wave equation on a Riemannian manifold with or without boundary,…
Value function for regional control problems via dynamic programming and Pontryagin maximum principle
Guy Barles, Ariela Briani, Emmanuel Trélat
In this paper we focus on regional deterministic optimal control problems, i.e., problems where the dynamics and the cost functional may be different in several regions of the stat…