61 citations · 124 across the 11 of their papers we have counts for
12 papers
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…
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…
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.…
When can a population spreading across sink habitats persist ?
Michel Benaim, Claude Lobry, Tewfik Sari +1
We consider populations with time-varying growth rates living in sinks. Each population, when isolated, would become extinct. Dispersal-induced growth (DIG) occurs when the populat…
A note on the top Lyapunov exponent of linear cooperative systems
Michel Benaïm, Claude Lobry, Tewfik Sari +1
In a recent paper [Asymptotic of the largest Floquet multiplier for cooperative matrices Annales de la Faculté des Sciences de Toulouse, Tome XXXI, no 4 (2022)] P. Carmona gives an…
Entry-exit in the halo of a slow semi-stable curve
Claude Lobry
We consider a slow-fast differential system (SF) in dimension two which appears in the study of some linear model (LM) with periodic coefficients in population dynamics. We show ex…