A Maximum Principle for Optimal Control Problems Involving Sweeping Processes with a Nonsmooth Set
将先前针对光滑移动集扫掠系统最优控制问题的最大值原理推广到移动集非光滑的情形，并考虑了终点约束问题。
Abstract We generalize a maximum principle for optimal control problems involving sweeping systems previously derived in de Pinho et al. (Optimization 71(11):3363–3381, 2022, https://doi.org/10.1080/02331934.2022.2101111 ) to cover the case where the moving set may be nonsmooth. Noteworthy, we consider problems with constrained end point. A remarkable feature of our work is that we rely upon an ingenious smooth approximating family of standard differential equations in the vein of that used in de Pinho et al. (Set Valued Var Anal 27:523–548, 2019, https://doi.org/10.1007/s11228-018-0501-8 ).