Sensitivity Properties of Parametric Nonconvex Evolution Inclusions with Application to Optimal Control Problems

被引：5
作者：
Adly, Samir [1 ]
Zakaryan, Taron [1 ]
机构：
[1] Univ Limoges, CNRS, UMR 7252, XLIM, 123 Ave Albert Thomas, F-87060 Limoges, France
来源：
SET-VALUED AND VARIATIONAL ANALYSIS | 2019年 / 27卷 / 02期
关键词：
Sensitivity analysis; Evolution inclusions; Primal lower nice functions; Semi-convex functions; Sweeping process; Prox-regular sets; Bolza/Mayer problem; Optimal control;
D O I：
10.1007/s11228-019-0505-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main concern of this paper is to investigate sensitivity properties of parametric evolution systems of first order involving a general class of nonconvex functions. Using recent results on the stability of the subdifferentials, with respect to the Gamma convergence, of the associated sequence of subsmooth or semiconvex functions, we give some continuity properties of the solution set associated to these problems. The particular case of the parametric sweeping process involving uniformly subsmooth or uniformly prox-regular sets is studied in details. As an application, we study the sensitivity analysis of the generalized Bolza/Mayer problem governed by a nonsmooth dynamic of a sweeping process type.
引用
收藏
页码：549 / 568
页数：20
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