From the 1 of 18 linked papers with an AI index.
1 citations · 1 across the 6 of their papers we have counts for
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Global exponential turnpike properties for optimal control of the viscous Burgers equation
Emmanuel Trélat, Xingwu Zeng, Can Zhang
The paper proves that optimal solutions of quadratic tracking problems for the one‑dimensional viscous Burgers equation with localized internal control converge exponentially to a…
Turnpike in optimal control and beyond: a survey
Emmanuel Trélat, Enrique Zuazua
The turnpike principle is a fundamental concept in optimal control theory, stating that for a wide class of long-horizon optimal control problems, the optimal trajectory spends mos…
Boundary observability for gas giant metrics
Maarten V. de Hoop, Antti Kykkänen, Emmanuel Trélat
We study the observability of waves on gas giant manifolds which are a class of Riemannian manifolds whose metrics are singular at the boundary. Such manifolds arise naturally in m…
A flatness proof of the exponential turnpike phenomenon for linear-quadratic optimal control problems
Michel Fliess, Claude Lobry, Emmanuel Trélat
We revisit finite-dimensional linear-quadratic optimal control from the viewpoint of differential flatness. If the pair (A, B) is controllable, then the linear control system is fl…
Generalisation of Farkas' lemma beyond closedness: a constructive approach via Fenchel-Rockafellar duality
Camille Pouchol, Emmanuel Trélat, Christophe Zhang
Farkas' lemma is an ubiquitous tool in optimisation, as it provides necessary and sufficient conditions to have , where is a closed convex cone, is a (continuou…
Polynomial Turnpike Property for a Class of Infinite-Dimensional Oscillating Systems
Alexander Zuyev, Emmanuel Trélat
We establish a polynomial turnpike estimate for an optimal control problem consisting of a system of infinitely many controlled oscillators, considered as an abstract differential…