Second order conditions in optimal control problems with equality constraints

In this paper we consider a nonlinear optimal control problem with equality endpoint constraints. We introduce a new natural definition of singular control for which we obtain second-order necessary optimality conditions. © 2016 IEEE.

Authors
Arutyunov A.V. 1, 2 , Shvartsman I.A. 3 , Zhukovskaya Z.T. 1
Conference proceedings
2016 IEEE 55th Conference on Decision and Control, CDC 2016
Publisher
Institute of Electrical and Electronics Engineers Inc.
Language
English
Pages
1069-1073
State
Published
DOI
10.1109/CDC.2016.7798409
Number
7798409
Year
2016
Organizations
  • 1 RUDN University, Moscow, 115419, Russian Federation
  • 2 M.V. Lomonosov Moscow State University, Moscow, Russian Federation
  • 3 Dept. 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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