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

Appl. Set-Valued Anal. Optim. 5 (2023), No. 2, pp. 193-212 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.