120 citations · 121 across the 8 of their papers we have counts for
12 papers · 1 filter
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…
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…
Continuity of Pontryagin extremals with respect to delays in nonlinear optimal control
Bruno Hérissé, Riccardo Bonalli, Emmanuel Trélat
Consider a general nonlinear optimal control problem in finite dimension, with constant state and/or control delays. By the Pontryagin Maximum Principle, any optimal trajectory is…
Sparse control of Hegselmann-Krause models: Black hole and declustering
Benedetto Piccoli, Nastassia Pouradier Duteil, Emmanuel Trélat
This paper elaborates control strategies to prevent clustering effects in opinion formation models. This is the exact opposite of numerous situations encountered in the literature…
Optimal shape design for 2D heat equations in large time
Emmanuel Trelat, Can Zhang, Enrique Zuazua
In this paper, we investigate the asymptotic behavior of optimal designs for the shape optimization of 2D heat equations in long time horizons. The control is the shape of the doma…
Integral and measure-turnpike properties for infinite-dimensional optimal control systems
Emmanuel Trelat, Can Zhang
We first derive a general integral-turnpike property around a set for infinite-dimensional non-autonomous optimal control problems with any possible terminal state constraints, und…