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

页码：957 / 982

页数：26

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