3 papers
math.OC2026
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…
math.DS2026
Sufficient condition for dispersal-induced growth on dynamic networks
Michel Benaïm, Claude Lobry, Tewfik Sari +1
We consider a population spreading across a finite number of sites. Individuals can move from one site to the other according to a network (oriented links between the sites) that v…
math.DS2025
Dispersal-induced growth or decay in a time-periodic environment. The case of reducible migration matrices
Michel Benaim, Claude Lobry, Tewfik Sari +1
This paper is a follow-up to a previous work where we considered populations with time-varying growth rates living in patches and irreducible migration matrix between the patches.…