ON ASYMPTOTIC EXIT-TIME CONTROL PROBLEMS LACKING COERCIVITY

被引：15
|
作者：
Motta, M. [1 ]
Sartori, C. [1 ]
机构：
[1] Dipartimento Matemat, I-35121 Padua, Italy
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2014年 / 20卷 / 04期
关键词：
Exit-time problems; impulsive optimal control problems; viscosity solutions; asymptotic controllability; BELLMAN EQUATIONS; INFINITE-HORIZON;
D O I：
10.1051/cocv/2014003
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The research on a class of asymptotic exit-time problems with a vanishing Lagrangian, begun in [M. Motta and C. Sartori, Nonlinear Differ. Equ. Appl. Springer (2014).] for the compact control case, is extended here to the case of unbounded controls and data, including both coercive and non-coercive problems. We give sufficient conditions to have a well-posed notion of generalized control problem and obtain regularity, characterization and approximation results for the value function of the problem.
引用
收藏
页码：957 / 982
页数：26
相关论文
共 42 条
12345