120 citations · 247 across the 31 of their papers we have counts for
36 papers
Exponential convergence towards consensus for non-symmetric linear first-order systems in finite and infinite dimensions
Laurent Boudin, Francesco Salvarani, Emmanuel Trélat
We consider finite and infinite-dimensional first-order consensus systems with timeconstant interaction coefficients. For symmetric coefficients, convergence to consensus is classi…
Approximation of exact controls for semi-linear 1D wave equations using a least-squares approach
Arnaud Münch, Emmanuel Trélat
The exact distributed controllability of the semilinear wave equation , assuming that satisfies the growth condition $\vert g(s)\vert /(\vert s\ve…
Observability for generalized Schrödinger equations and quantum limits on product manifolds
Emmanuel Humbert, Yannick Privat, Emmanuel Trélat
Given a closed product Riemannian manifold N = M x M equipped with the product Riemannian metric g = h + h , we explore the observability properties for the generalized Schr{ö}ding…
Unified Riccati theory for optimal permanent and sampled-data control problems in finite and infinite time horizons
Loïc Bourdin, Emmanuel Trélat
We revisit and extend the Riccati theory, unifying continuous-time linear-quadratic optimal permanent and sampled-data control problems, in finite and infinite time horizons. In a…
PI Regulation of a Reaction-Diffusion Equation with Delayed Boundary Control
Hugo Lhachemi, Christophe Prieur, Emmanuel Trélat
The general context of this work is the feedback control of an infinite-dimensional system so that the closed-loop system satisfies a fading-memory property and achieves the setpoi…
Stabilization of infinite-dimensional linear control systems by POD reduced-order Riccati feedback
Emmanuel Trélat, Gengsheng Wang, Yashan Xu
There exist many ways to stabilize an infinite-dimensional linear autonomous control systems when it is possible. Anyway, finding an exponentially stabilizing feedback control that…