Abstract:
We extend to C×W1,2 -local minimizers and nonautonomous perturbation function, the necessary optimality conditions derived in [1], via continuous-time approximations, for W1,2×W1,2 -local minimizers of an optimal control problem governed by a controlled nonconvex sweeping process with autonomous perturbation function.
Citation:
Nour, C., & Zeidan, V. (2023). Nonsmooth optimality criterion for a $\mathrm {W}^{1, 2} $-controlled sweeping process: Nonautonomous perturbation. arXiv preprint arXiv:2305.15553.