Second-order optimality conditions for singular extremals in optimal control problems with equality endpoint constraints

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. © 2017 Elsevier Ltd

Authors
Arutyunov A.V. 1, 2 , Shvartsman I.A.3 , Zhukovskaya Z.T. 1
Journal
Nonlinear Analysis, Theory, Methods and Applications
Publisher
Elsevier Ltd
Language
English
Pages
20-43
Status
Published
Link
External link
DOI
10.1016/J.NA.2017.03.004
Volume
157
Year
2017
Organizations
  • 1 RUDN University, 6 Miklukho-Maklaya Street, Moscow, 117198, Russian Federation
  • 2 Department of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russian Federation
  • 3 Department of Mathematics and Computer Science, Penn State Harrisburg, Middletown, PA 17057, United States
Keywords
Optimal control; Second-order conditions; Singular control
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