Monday, March 4, 2024 2pm to 3pm
About this Event
3620 South Vermont Avenue, Los Angeles, CA 90089
Qingshuo Song, Worcester Polytechnic Institute
[in-person]
or
Join Zoom Meeting: https://usc.zoom.us/j/94973619069?pwd=VnU5bVlMc1pzVTlEYUVaZUYyNSt6UT09
Meeting ID: 949 7361 9069 / Passcode: 925028
Abstract: The turnpike property in control theory refers to the tendency of optimal control strategies to converge over a sufficiently long time horizon, closely following a fixed or "turnpike" path. A recent work by Jiongmin Yong and his collaborators characterized the turnpike as a static optimization problem through the Ricatti system. In this talk, we establish the connection between the turnpike property and the cell problem from Weak KAM Theory, further provides an alternative approach to identifying the turnpike in control problems.