23 citations · 105 across the 13 of their papers we have counts for
10 papers · 1 filter
Exponential stability of linear periodic difference-delay equations
Laurent Baratchart, Sébastien Fueyo, Jean-Baptiste Pomet
This paper deals with the stability of linear periodic difference delay systems, where the value at time of a solution is a linear combination with periodic coefficients of its…
Necessary conditions for local controllability of a particular class of systems with two scalar controls
Laetitia Giraldi, Pierre Lissy, Clément Moreau +1
We consider affine control systems with two scalar controls, such that one control vector field vanishes at an equilibrium state. We state two necessary conditions of local control…
Addendum to "Local Controllability of the Two-Link Magneto-Elastic Micro-Swimmer"
Laetitia Giraldi, Pierre Lissy, Clément Moreau +1
In the above mentioned note (<hal-01145537>, <arXiv:1506.05918>, published in IEEE Trans. Autom. Cont., 2017), the first and fourth authors proved a local controllability result ar…
Controllability of a bent 3-link magnetic microswimmer
Laetitia Giraldi, Pierre Lissy, Clément Moreau +1
- In this paper, we focus on a variant of a 3-link magnetic microswimmer which consists of three rigid magnetized segments connected by two torsional springs. In particular, we ass…
Time Versus Energy in the Averaged Optimal Coplanar Kepler Transfer towards Circular Orbits
Bernard Bonnard, Helen Henninger, Jana Nemcova +1
The aim of this note is to compare the averaged optimal coplanar transfer towards circular orbits when the costs are the transfer time transfer and the energy consumption. While th…
The averaged control system of fast oscillating control systems
Alex Bombrun, Jean-Baptiste Pomet
For control systems that either have a fast explicit periodic dependence on time and bounded controls or have periodic solutions and small controls, we define an average control sy…
Mass transportation with LQ cost functions
Ahed Hindawi, Ludovic Rifford, Jean-Baptiste Pomet
We study the optimal transport problem in the Euclidean space where the cost function is given by the value function associated with a Linear Quadratic minimization problem. Under…
A necessary condition for dynamic equivalence
Jean-Baptiste Pomet
If two control systems on manifolds of the same dimension are dynamic equivalent, we prove that either they are static equivalent --i.e. equivalent via a classical diffeomorphism--…
On local linearization of control systems
Laurent Baratchart, Jean-Baptiste Pomet
We consider the problem of topological linearization of smooth (C infinity or real analytic) control systems, i.e. of their local equivalence to a linear controllable system via po…
Flatness and Monge parameterization of two-input systems, control-affine with 4 states or general with 3 states
David Avanessoff, Jean-Baptiste Pomet
This paper studies Monge parameterization, or differential flatness, of control-affine systems with four states and twocontrols. Some of them are known to be flat, and this implies…