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

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.