The Minimal Time Problem of a Sweeping Process with a Discontinuous Perturbation
Document Type
Article
Publication Date
1-1-2025
Abstract
We investigate the minimal time problem where the dynamic data involves an autonomous sweeping process perturbed by a discontinuous dissipative Lipschitz multifunction. We show that under mild assumptions the minimal time function can be characterized in terms of Hamilton-Jacobi inequalities, one of which incorporates a limiting component that captures the discontinuous nature of the perturbation. Continuity of the minimal time function is proven under a Petrov-type condition.
Publication Source (Journal or Book title)
Journal of Convex Analysis
First Page
801
Last Page
824
Recommended Citation
Ríos, V., & Wolenski, P. (2025). The Minimal Time Problem of a Sweeping Process with a Discontinuous Perturbation. Journal of Convex Analysis, 35 (3), 801-824. Retrieved from https://repository.lsu.edu/mathematics_pubs/1852