|Date: Thursday, March 17, 2022
Location: Virtual (9:00 AM to 10:00 AM)
Title: Controlled polyhedral sweeping processes: Existence, stability, and optimality conditions
Abstract: 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).
Meeting ID: 955 2425 1106
Files: 7873_Poster Henrion.pdf
Speaker: René Henrion
Institution: Weierstrass Institute Berlin, Germany
Event Organizer: Anthony Bloch, Boris Mordukhovich, Nguyen-Truc-Dao Nguyen