Second-order optimality conditions for singular extremals in optimal control problems with equality endpoint constraints. (July 2017)

• Record Type: Journal Article
• Authors: Arutyunov, A.V.; Shvartsman, I.A.; Zhukovskaya, Z.T.
• Is Part Of: Nonlinear analysis. Volume 157(2017)
• Page Start: 20
• Page End: 43
• Publication Date: 2017-07
• Subjects: 49K15; Optimal control -- Second-order conditions -- Singular control; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2017.03.004
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we use the method of finite-dimensional approximations to derive the second-order necessary optimality conditions for singular Pontryagin local minimizers in optimal control problems with equality endpoint constraints.