A control space ensuring the strong convergence of continuous approximation for a controlled sweeping process
A controlled sweeping process with prox-regular set, W1,2-controls, and separable endpoints constraints is considered in this paper. Existence of optimal solutions is established and local optimality conditions are derived via strong converging continuous approximations that entirely reside in the i...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| مؤلفون آخرون: | |
| التنسيق: | article |
| منشور في: |
2023
|
| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/14657 https://doi.org/10.48550/arXiv.2301.00475 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php https://arxiv.org/abs/2301.00475 |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| الملخص: | A controlled sweeping process with prox-regular set, W1,2-controls, and separable endpoints constraints is considered in this paper. Existence of optimal solutions is established and local optimality conditions are derived via strong converging continuous approximations that entirely reside in the interior of the prox-regular set. Consequently, these results are expressed in terms of new subdifferentials for the original data that are strictly smaller than the standard Clarke and Mordukhovich subdifferentials. |
|---|