OPTIMAL CONTROL OF THE SWEEPING PROCESS

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Optimality conditions for a controlled sweeping process with applications to the crowd motion model (2015, background): “Our control model in (P τ ) follows the line of [7, 8], where control actions enter the sweeping set but not entering perturbations.”
Optimal control of the sweeping process over polyhedral controlled sets (2015, methodology): “Furthermore, it was assumed in [11] the independence of the running cost on time, control variables, and control velocities as well as the uniform Lipschitzian continuity of feasible controls.”
Optimal control of ODE systems involving a rate independent variational inequality (2012, background): “Let us also mention the recent paper [15], where the optimal control of the EVI itself (not coupled to another evolution) is treated.”
On optimal control of a sweeping process coupled with an ordinary differential equation (2014, background): “However, their control enters the system via the sweeping set and so the results of [10] cannot be compared with those presented in this paper in a straightforward way.”