Un problème de contrôle géométrique et les équations de Hamilton-Jacobi-Bellman
Unbounded viscosity solutions of hybrid control systems
We study a hybrid control system in which both discrete and continuous controls are involved. The discrete controls act on the system at a given set interface. The state of the system is changed discontinuously when the trajectory hits predefined sets, namely, an autonomous jump set A or a controlled jump set C where controller can choose to jump or not. At each jump, trajectory can move to a different Euclidean space. We allow the cost functionals to be unbounded with certain growth and hence...
Uniqueness of motion by mean curvature perturbed by stochastic noise
Uniqueness of values of Aronsson operators and running costs in “tug-of-war” games