13 citations · 19 across the 9 of their papers we have counts for
17 papers
Constructive exact control of semilinear 1D wave equations by a least-squares approach
Arnaud Münch, Emmanuel Trélat
It has been proved by Zuazua in the nineties that the internally controlled semilinear 1D wave equation , with Dirichlet boundary condit…
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.
Small-time asymptotics of hypoelliptic heat kernels near the diagonal, nilpotentization and related results
Yves Colin de Verdière, Luc Hillairet, Emmanuel Trélat
We establish small-time asymptotic expansions for heat kernels of hypoelliptic Hörmander operators in a neighborhood of the diagonal, generalizing former results obtained in partic…
Shape turnpike for linear parabolic PDE models
Gontran Lance, Emmanuel Trélat, Enrique Zuazua
We introduce and study the turnpike property for time-varying shapes, within the viewpoint of optimal control. We focus here on second-order linear parabolic equations where the sh…
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…