Control Theory, Differential Games and Optimization

Aviv Gibali, Valery Y. Glizer, Alexander Goldvard, Vladimir Turetsky, Gideon Avigad (Department of Mechanical Engineering), Emilia Fridman (Tel-Aviv University), Leonid Fridman (National Autonomous University of Mexico, Mexico) and Galina A. Kurina (Voronezh State University, Russia), Yair Censor (University of Haifa), Karl-Heinz Küfer (Fraunhofer Institute for Industrial Mathematics (ITWM), Germany) and Philipp Süss (Fraunhofer ITWM, Germany).
Control theory examines ways to manipulate input to a dynamic system in order to obtain desired behavior and output. Differential games theory focuses on the optimal strategies of several agents subject to their differing and often opposing goals. Optimization theory studies methods for choosing an optimal element from a given admissible set.
Prof. Glizer ׳s research focuses on the following: control problems and differential games with singularly perturbed dynamics; cheap control problems; singular control problems; robust control problems; differential games with perfect and imperfect information; differential games with hybrid dynamics; singular differential games; multi-objective differential games; singularly perturbed ODE, PDE, functional-differential equations, difference equations; non-linear stochastic differential and difference equations; nonlinear theory of generalized functions and its applications.
Dr. Goldvard focuses on the solution of multi-criteria (multi-objective) optimization problems via evolutionary algorithms.
Prof. Turetsky is engaged in studying the following: pursuit-evasion games with perfect and imperfect information; robust control; generalized linear-quadratic games; optimal control; cheap control problems; differential games with hybrid dynamics; invariant sets for feedback strategies; inverse problems of signal restoration and differentiation.
Dr. Gibali ׳s research area is Nonlinear Analysis and Optimization Theory. In particular developing and modifying iterative projection methods for solving variational inequalities, feasibility and fixed-points problems with applications to real-world problems such as intensity-modulated radiation therapy (IMRT) treatment planning.
Keywords: System analysis, control design, non-cooperative and antagonistic games, multi-objective optimization