58 citations · 223 across the 31 of their papers we have counts for
4 papers · 1 filter
Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits
Emmanuel Humbert, Yannick Privat, Emmanuel Trélat
We provide new geometric and spectral characterizations for a Riemannian manifold to be a Zoll manifold, i.e., all geodesics of which are periodic. We analyze relationships with in…
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.