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Center for Nonlinear Studies |
This talk addresses new classes of optimal control problems governed by convex and nonconvex versions of the sweeping/Moreau processes. Such control systems are described by discontinuous differential inclusions with intrinsic state constraints, which makes them highly challenging in control theory and applications. We develop the method of finite-difference approximations to deal with problems of this type. Besides some numerical advantages, it allows us to derive necessary optimality conditions for sweeping optimal solutions and then to proceed with applications to some practical dynamical models including the controlled planar crowd motion model of traffic equilibria, elastoplasticity, and hysteresis.
Host: Anatoly Ziotnik