Transport of Bose-Einstein condensates in magnetic microtraps, controllable by external parameters such as wire currents or radio-frequency fields, is studied within the framework of optimal control theory (OCT). We derive from the Gross–Pitaevskii equation the optimality system for the OCT fields that allow to efficiently channel the condensate between given initial and desired states. For a v...

In the theory of mathematical optimization one try to find maximum or minimum points of functions depending of real variables and of other functions. Optimal control theory is a modern extension of the classical calculus of variations. Euler and Lagrange developed the theory of the calculus of variations in the eighteenth century. Its main ingredient is the Euler equation which was discovered a...

Modern machine tools based on parallel kinematic architecture provide excellent performance in terms of stiffness/weight ratio. Also, hydraulic actuators are widely used in industrial applications due to several advantages like large force and torque, high power to weight ratio, rapid response. The current paper presents the mechatronic design of a translational 3-DOF parallel robot which uses ...

In this article we study an optimal stopping/optimal control problem which models the decision facing a risk averse agent over when to sell an asset. The market is incomplete so that the asset exposure cannot be hedged. In addition to the decision over when to sell, the agent has to choose a control strategy which corresponds to a feasible wealth process. We formulate this problem as one involv...

The objective of this paper is to present a special application field of optimal control and differential game theories which is of interest to management scientists. After introducing the Vidale-Wolfe’s and NerloveArrow’s dynamic models for advertising processes, I will focus on a few exemplary problems. At a first investigation level, we find some optimal control problems, then the more inter...

We consider the classical problem of control of linear systems with quadratic cost. When the true system dynamics are unknown, an adaptive policy is required for learning the model parameters and planning a control policy simultaneously. Addressing this trade-off between accurate estimation and good control represents the main challenge in the area of adaptive control. Another important issue i...