Solution Properties of Convex Sweeping Processes with Velocity\n Constraint

2021/09/14 by Nguyen Nang Thieu, Thieu, Nguyen Nang
Computer Science · Mathematics · #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Optimization and Control (math.OC) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2109.06556

openalex publication_date 2021/09/14 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

Some properties of solutions of convex sweeping processes with velocity\nconstraints are studied in this paper. Namely, the solution sensitivity with\nrespect to the initial value, the boundedness, the closedness, and the\nconvexity of the solution set are discussed in detail. Our investigations\ncomplement the preceding ones on the solution existence and the solution\nuniqueness of convex sweeping processes with velocity constraints.\n

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