13 citations · 19 across the 10 of their papers we have counts for
12 papers · 1 filter
Robustness under control sampling of reachability in fixed time for nonlinear control systems
Loïc Bourdin, Emmanuel Trélat
Under a regularity assumption we prove that reachability in fixed time for nonlinear control systems is robust under control sampling.
Characterization by observability inequalities of controllability and stabilization properties
Emmanuel Trélat, Gengsheng Wang, Yashan Xu
Given a linear control system in a Hilbert space with a bounded control operator, we establish a characterization of exponential stabilizability in terms of an observability inequa…
Phase portrait control for 1D monostable and bistable reaction-diffusion equations
Camille Pouchol, Emmanuel Trélat, Enrique Zuazua
We consider the problem of controlling parabolic semilinear equations arising in population dynamics, either in finite time or infinite time. These are the monostable and bistable…
Addendum to Pontryagin's maximum principle for dynamic systems on time scales
Loïc Bourdin, Oleksandr Stanzhytskyi, Emmanuel Trélat
This note is an addendum to [1,2], pointing out the differences between these papers and raising open questions.
Convergence to consensus of the general finite-dimensional Cucker-Smale model with time-varying delays
Cristina Pignotti, Emmanuel Trélat
We consider the celebrated Cucker-Smale model in finite dimension, modelling interacting collective dynamics and their possible evolution to consensus. The objective of this paper…
Redundancy implies robustness for bang-bang strategies
Antoine Olivier, Thomas Haberkorn, Emmanuel Trélat +2
We develop in this paper a method ensuring robustness properties to bang-bang strategies , for general nonlinear control systems. Our main idea is to add bang arcs in the form of n…