1 citations · 1 across the 5 of their papers we have counts for
5 papers
Hadamard-Lévy theorems for maps taking values in a finite dimensional space
Yacine Chitour, Zhengping Ji, Emmanuel Trélat
We propose global surjectivity theorems of differentiable maps based on second order conditions. Using the homotopy continuation method, we demonstrate that, for a differenti…
Turnpike property of linear quadratic control problems with unbounded control operators
Hoai-Minh Nguyen, Emmanuel Trélat
We establish the turnpike property for linear quadratic control problems for which the control operator is admissible and may be unbounded, under quite general and natural assumpti…
Constructive reachability for linear control problems under conic constraints
Camille Pouchol, Emmanuel Trélat, Christophe Zhang
Motivated by applications requiring sparse or nonnegative controls, we investigate reachability properties of linear infinite-dimensional control problems under conic constraints.…
Control in finite and infinite dimension
Emmanuel Trélat
This short book is the result of various master and summer school courses I have taught. The objective is to introduce the readers to mathematical control theory, both in finite an…
Singular arcs in the generalized Goddard's Problem
Frédéric Bonnans, Pierre Martinon, Emmanuel Trélat
We investigate variants of Goddard's problems for nonvertical trajectories. The control is the thrust force, and the objective is to maximize a certain final cost, typically, the f…