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arXiv · 2305.15553

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

Chadi Nour·Vera Zeidan
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Abstract

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

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Chadi Nour, Vera Zeidan. 2023-05-24. Nonsmooth optimality criterion for a $\mathrm{W}^{1,2}$-controlled sweeping process: Nonautonomous perturbation. https://doi.org/10.23952/asvao.5.2023.2.06

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