Monday July 25/3:30

MS14/Marina 6

Recent Developments in Optimal Control

In recent years there have been important new developments in the theory of necessary conditions for optimal control. This minisymposium will focus on new results for finite-dimensional deterministic optimal control, and will cover four of the main directions in which there have been major exciting breakthroughs: second order conditions, necessary conditions for nonconvex differential inclusions, new proofs of the Maximum Principle under weaker hypotheses and with stronger conclusions that include high-order variations and, finally, a survey of recent developments on the construction of high-order variations. Organizer: Hector J. Sussmann, Rutgers University

• 3:30: Recent Developments in the Second Order Theory of Optimal Control Problems. Vera Zeidan, Michigan State University
• 4:00: Necessary Optimality Conditions for Nonconvex Differential Inclusion with Endpoint Constraints. Qiji Zhu, Simon Fraser University, Canada
• 4:30: A Strong Maximum Principle Under Weak Hypotheses. Hector J. Sussmann, Organizer
• 5:00: High-order Variations and Controllability. Matthias Kawski, Arizona State University