This talk is devoted to the study of controlled sweeping processes with polyhedral moving sets in Hilbert spaces. Based on a detailed analysis of truncated Hausdorff distances between moving polyhedra, we derive new existence and uniqueness theorems for sweeping trajectories corresponding to various classes of control functions acting on moving sets. Then, we establish quantitative stability results, which provide efficient estimates on the dependence of sweeping trajectories on controls and initial values. Our final topic, accomplished in finite-dimensional state spaces, is deriving new necessary optimality and suboptimality conditions for sweeping control systems with endpoint constrains by using constructive discrete approximations.

This is joint work with A. Jourani (Université de Bourgogne, Dijon, France) and B. Mordukhovich (Wayne State University, Detroit).

Zoom Link:
https://umich.zoom.us/j/95524251106?pwd=TUN5SnlVQzB5bGRtejZRU2NhVXpJUT09

Meeting ID: 955 2425 1106
Passcode: 491904 Speaker(s): René Henrion (Weierstrass Institute Berlin, Germany)