120 citations · 121 across the 8 of their papers we have counts for
4 papers · 1 filter
Feedback stabilization of a 1D linear reaction-diffusion equation with delay boundary control
Christophe Prieur, Emmanuel Trélat
The goal of this work is to compute a boundary control of reaction-diffusion partial differential equation. The boundary control is subject to a constant delay, whereas the equatio…
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…
Solving Optimal Control Problems for Delayed Control-Affine Systems with Quadratic Cost by Numerical Continuation
Riccardo Bonalli, Bruno Hérissé, Emmanuel Trélat
- In this paper we introduce a new method to solve fixed-delay optimal control problems which exploits numerical homotopy procedures. It is known that solving this kind of problems…