2 citations · 6 across the 9 of their papers we have counts for
4 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…
Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces
Emmanuel Trelat, Can Zhang, Enrique Zuazua
In this work, we study the steady-state (or periodic) exponential turnpike property of optimal control problems in Hilbert spaces. The turnpike property, which is essentially due t…
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…
Optimal control of infinite-dimensional piecewise deterministic Markov processes and application to the control of neuronal dynamics via Optogenetics
Vincent Renault, Michèle Thieullen, Emmanuel Trélat
In this paper we define an infinite-dimensional controlled piecewise deterministic Markov process (PDMP) and we study an optimal control problem with finite time horizon and unboun…