4 citations · 11 across the 5 of their papers we have counts for
6 papers
Stability of the chemostat system with a mutation factor
Terence Bayen, Henri Cazenave-Lacroutz, Jerome Coville
In this paper, we consider a resource-consumer model taking into account a mutation effect between species (with constant mutation rate). The corresponding mutation operator is a d…
Tangency property and prior-saturation points in minimal time problems in the plane
Térence Bayen, Olivier Cots
In this paper, we consider minimal time problems governed by control-affine-systems in the plane, and we focus on the synthesis problem in presence of a singular locus that involve…
Second-order analysis for the time crisis problem
Laurent Pfeiffer, Terence Bayen
In this article, we prove second-order necessary optimality conditions for the so-called time crisis problem that comes up within the context of viability theory. It consists in mi…
Optimal control of membrane filtration systems
Nesrine Kalboussi, Alain Rapaport, Térence Bayen +3
This paper studies an optimal control problem related to membrane filtration processes. A simple mathematical model of membrane fouling is used to capture the dynamic behavior of t…
Dynamical modelling and optimal control of landfills
A. Rapaport, T. Bayen, M. Sebbah +2
We propose a simple model of landfill and study a minimal time control problem where the re-circulation leachate is the manipulated variable. We propose a scheme to construct the o…
On the degree of the polynomial defining a planar algebraic curves of constant width
Magali Bardet, Térence Bayen
In this paper, we consider a family of closed planar algebraic curves which are given in parametrization form via a trigonometric polynomial . When i…