Sur quelques questions du calcul des variations
Sur un point du calcul des variations
Sur un principe géométrique en analyse convexe
In this note we present we present a new elementary approach in the theory of minimax inequalities. The proof of the main result (called the geometric principle) uses only some simple properties of convex functions. The geometric principle (which is equivalent to the well-known lemma of Klee [13]) is shown to have numerous applications in different areas of mathematics.
Sur un problème d'optimisation lié aux équations de Navier-Stokes
Sur un problème d'optimisation ou la contrainte porte sur la fréquence fondamentale
Sur une certaine alternative non-linéaire en analyse convexe
Sur une généralisation de l'inégalité de Wirtinger
Surfaces minima avec obstacles
Surfaces of minimal area enclosing a given body in
Surfaces of Prescribed Mean Curvature with Inequalities on the Boundary.
Surfaces quasiminimales de codimension 1 et domaines de John
Surfaces quasiminimales de codimension 1 : un morceau de démonstration
Switching control
We analyze the problem of switching controls for control systems endowed with different actuators. The goal is to control the dynamics of the system by switching from an actuator to the other in a systematic way so that, in each instant of time, only one actuator is active. We first address a finite-dimensional model and show that, under suitable rank conditions, switching control strategies exist and can be built in a systematic way. To do this we introduce a new variational principle building...
Switchings of optimal controls and the equation ,
Symbolic computation of variational symmetries in optimal control
Symmetries and currents in nonholonomic mechanics
In this paper we derive general equations for constraint Noethertype symmetries of a first order non-holonomic mechanical system and the corresponding currents, i.e. functions constant along trajectories of the nonholonomic system. The approach is based on a consistent and effective geometrical theory of nonholonomic constrained systems on fibred manifolds and their jet prolongations, first presented and developed by Olga Rossi. As a representative example of application of the geometrical theory...
Symmetries and integrals of motion in optimal control
Symmetries, variational principles, and quantum dynamics.
Symmetry analysis of the cylindrical Laplace equation.
Symmetry and monotonicity of solutions to some variational problems in cylinders and annuli.