English

Nonsmooth optimality criterion for a $\mathrm{W}^{1,2}$-controlled sweeping process: Nonautonomous perturbation

Optimization and Control 2023-07-18 v1

Abstract

We extend to C×W1,2\mathrm{C}\times \mathrm{W}^{1,2}-local minimizers and nonautonomous perturbation function, the necessary optimality conditions derived in [1], via continuous-time approximations, for W1,2×W1,2\mathrm{W}^{1,2}\times \mathrm{W}^{1,2}-local minimizers of an optimal control problem governed by a controlled nonconvex sweeping process with autonomous perturbation function.

Keywords

Cite

@article{arxiv.2305.15553,
  title  = {Nonsmooth optimality criterion for a $\mathrm{W}^{1,2}$-controlled sweeping process: Nonautonomous perturbation},
  author = {Chadi Nour and Vera Zeidan},
  journal= {arXiv preprint arXiv:2305.15553},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:2301.00475

R2 v1 2026-06-28T10:45:15.665Z