This volume contains the proceedings of the workshop on Variational and Optimal Control Problems on Unbounded Domains, held in memory of Arie Leizarowitz, from January 9-12, 2012, in Haifa, Israel. The workshop brought together a select group of worldwide experts in optimal control theory and the calculus of variations, working on problems on unbounded domains. The papers in this volume cover many different areas of optimal control and its applications. Topics include needle variations in infinite-horizon optimal control, Lyapunov stability with some extensions, small noise large time asymptotics for the normalized Feynman-Kac semigroup, linear-quadratic optimal control problems with state delays, time-optimal control of wafer stage positioning, second order optimality conditions in optimal control, state and time transformations of infinite horizon problems, turnpike properties of dynamic zero-sum games, and an infinite-horizon variational problem on an infinite strip. This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).
Gershon Wolansky and Alexander J. Zaslavski, Technion-Israel Institute of Technology, Haifa, Israel
S. M. Aseev and V. M. Veliov - Needle variations in infinite-horizon optimal controlA. Berman, F. Goldberg, and R. Shorten - Comments on Lyapunov α -stability with some extensionsV. S. Borkar and K. S. Kumar - Small noise large time asymptotics for the normalized Feynman-Kac semigroupY. Dolgin and E. Zeheb - Linear constraints for convex approximation of the stability domain of a polynomial in coefficients spaceV. Y. Glizer -- Singular solution of an infinite horizon linear-quadratic optimal control problem with state delaysI. Ioslovich and P.-O. Gutman - Time-optimal control of wafer stage positioning using simplified modelsJ. Kogan and Y. Malinovsky -- Robust stability and monitoring threshold functionsE. Ocaña and P. Cartigny - One dimensional singular calculus of variations in infinite horizon and applicationsN. P. Osmolovskii - Second order optimality conditions in optimal control problems with mixed inequality type constraints on a variable time intervalI. Shafrir and I. Yudovich - An infinite-horizon variational problem on an infinite stripD. Wenzke, V. Lykina, and S. Pickenhain - State and time transformations of infinite horizon optimal control problemsA. J. Zaslavski - Turnpike properties of approximate solutions of discrete-time optimal control problems on compact metric spacesA. J. Zaslavski - Turnpike theory for dynamic zero-sum games
