On asymptotic exit-time control problems lacking coercivity∗. (5th August 2014)

• Record Type: Journal Article
• Authors: Motta, M.; Sartori, C.
• Is Part Of: ESAIM. Volume 20:Number 4(2014:Oct.)
• Page Start: 957
• Page End: 982
• Publication Date: 2014-08-05
• Subjects: Exit-time problems, -- impulsive optimal control problems, -- viscosity solutions, -- asymptotic controllability; System analysis -- Periodicals; Calculus of variations -- Periodicals; Mathematical analysis -- Periodicals; Mathematical optimization -- Periodicals; Control theory -- Periodicals; 515.64
• DOI: 10.1051/cocv/2014003
• Languages: English
• ISSNs: 1292-8119

Abstract

Abstract : 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.