Date:
Thursday, January 20 Time: 4:00 p.m. Location: 215 Thomas Building Name: Alberto Bressan Affiliation: The Pennsylvania State University Title: Geometric control and optimal feedback stabilization Abstract: The first part of the talk will review some basic concepts in the theory of optimal control. I shall then discuss the problem of timeoptimal stabilization, i.e. designing a control that steers a system to the origin in minimum time. For control systems in the plane, a local and global classification of timeoptimal stabilizing feedback controls is now available. In higher space dimensions, the analysis of optimal feedback controls becomes increasingly complex. An alternative strategy, recently developed, is to look for suboptimal control strategies. In particular, the socalled "patchy feedbacks" perform almost optimally but retain a simple geometric structure. The talk will be addressed to a general audience, and will not assume any previous expertise on control theory. 
