TTMS32. Optimal Control of the Sweeping Process and its Applications to the Crowd Motion Models
Speaker: Dr. Tan Cao, Suny Korea
Email: [email protected]
Abstract: In this talk we first discuss Moreau’s sweeping process which is a class of nonsmooth dynamical systems involving normal cones of time-dependent moving sets. We review some basic results, numerical methods, and selective applications of the sweeping process. Then we consider a new class of optimal control problems involving the sweeping process and discuss how to derive a set of necessary optimality conditions using the method of discrete approximation and advanced tools of first-order and second-order variational analysis and generalized differentiation. Besides a theoretical interest, a major part of our study of such challenging optimal control problems with intrinsic state constraints comes from the applications to the planar crowd motion model.