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A control space ensuring the strong convergence of continuous approximation for a controlled sweeping process

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A control space ensuring the strong convergence of continuous approximation for a controlled sweeping process

Nour, Chadi; Zeidan, Vera
URI: http://hdl.handle.net/10725/14657
URL: https://arxiv.org/abs/2301.00475
DOI: https://doi.org/10.48550/arXiv.2301.00475
Date: 2023-01-01
Terms of Use: This item is made available under the terms and conditions applicable to " Article ", as set forth at: http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php

Abstract:

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.

Citation:

Nour, C., & Zeidan, V. (2023). A Control Space Ensuring the Strong Convergence of Continuous Approximation for a Controlled Sweeping Process. arXiv preprint arXiv:2301.00475.

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