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Some properties of solutions of convex sweeping processes with velocity constraints are studied in this paper. Namely, the solution stability with respect to the initial value, the boundedness, the closedness, and the convexity of the solution set are discussed in detail. In addition, an outer estimate for the solution set is given here for the first time and two open questions are raised for further research. Our investigations complement the preceding ones on the solution existence and the solution uniqueness of convex sweeping processes with velocity constraints.

Solution properties of convex sweeping processes with velocity constraints