Announcements

Download the Second Announcement booklet in PDF: Version of 18-May-2018

Download the First Announcement & Call for Papers booklet in PDF: Version of 04-Dec-2017

Invited Keynote Speakers

S.M.Aseev Sergey M. Aseev, Professor, Dr., Corresponding Member of RAS,

Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia, and International Institute for Applied Systems Analysis, Laxenburg, Austria

Infinite-Horizon Optimal Control.
Some Recent Advances and Applications in Economic Growth Theory

Infinite-horizon optimal control problems naturally arise in studying different models of optimal dynamic allocation of economic resources, in particular, in growth theory. Typically, the initial state is fixed and the terminal state (at infinity) is free in such problems, while the utility functional to be maximized is given by an improper integral on the time interval [0,∞). Although the state at infinity is not constrained the maximum principle for such problems may not hold in the normal form, and the standard transversality conditions at infinity may fail. Additional difficulties arise when the model involves a natural resource (renewable or not renewable) as an essential factor of production. In this case, typically, admissible controls are only bounded in an integral sense, which precludes the direct application of the standard existence results. The talk is devoted to some recent results in this field of optimal control and their applications in growth theory. (Abstract in PDF)

F.L.Chernousko Felix L. Chernousko, Professor, Dr., Academician of RAS,

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia

Optimal Motions of Bodies Controlled by Internal Moving Masses

Locomotion of robots in a resistive medium can be based on special motions of auxiliary internal masses inside the main body of the robot. This locomotion principle is used in micro-robots and vibro-robots moving in tubes. In the paper, optimal motions of systems controlled by internal moving masses are considered. One-dimensional optimal motions are examined for systems moving in media in the presence of external resistance, including dry friction and resistant forces depending on the velocity of the moving body. Two-dimensional motions are considered for bodies subject to dry friction and containing internal moving masses. Optimal motions of a two-body system are obtained for the case where external forces are negligible. This situation is a model for the re-orientation of a spacecraft containing a moving internal mass. (Abstract in PDF)

M.Quincampoix Marc Quincampoix, Professor, Dr.,

Laboratoire de Mathématiques de Bretagne Atlantique (CNRS UMR 6205), Université de Brest, France

Probabilistic Uncertainty in Differential Games and Control

In classical optimal control and in differential games, the controllers are supposed to a have a perfect knowledge of the dynamics, of the payoffs and of the initial conditions of the system. However in several practical situations only partial informations on these data are available. The most simple example is a control system with a given terminal payoff where the initial condition is not perfectly known: only a probabilistic information is known (for instance, the initial condition lies in a given ball with a uniform probability measure)... (Abstract in PDF)

Technical Program

The program of the Workshop is planned to include 60-minute invited lectures, 40-minute plenary talks and 20-minute regular talks.