2 citations · 5 across the 10 of their papers we have counts for
7 papers · 1 filter
Internal Control of The Transition Kernel for Stochastic Lattice Dynamics
Amirali Hannani, Minh-Nhat Phung, Minh-Binh Tran +1
In [5], we have designed impulsive and feedback controls for harmonic chains with a point thermostat. In this work, we study the internal control for stochastic lattice dynamics, w…
Convergence in nonlinear optimal sampled-data control problems
Loïc Bourdin, Emmanuel Trélat
Consider, on the one part, a general nonlinear finite-dimensional optimal control problem and assume that it has a unique solution whose state is denoted by . On the other par…
Geometric Optimal Control and Applications to Aerospace
Jiamin Zhu, Emmanuel Trélat, Max Cerf
This survey article deals with applications of optimal control to aerospace problems with a focus on modern geometric optimal control tools and numerical continuation techniques. G…
Mean-Field Sparse Jurdjevic--Quinn Control
Marco Caponigro, Benedetto Piccoli, Francesco Rossi +1
We consider nonlinear transport equations with non-local velocity, describing the time-evolution of a measure, which in practice may represent the density of a crowd. Such equation…
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…