Second order conditions in optimal control problems with equality constraints

Aram V. Arutyunov, Ilya A. Shvartsman, Zuhra T. Zhukovskaya

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

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.

Original languageEnglish (US)
Title of host publication2016 IEEE 55th Conference on Decision and Control, CDC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1069-1073
Number of pages5
ISBN (Electronic)9781509018376
DOIs
StatePublished - Dec 27 2016
Event55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States
Duration: Dec 12 2016Dec 14 2016

Publication series

Name2016 IEEE 55th Conference on Decision and Control, CDC 2016

Other

Other55th IEEE Conference on Decision and Control, CDC 2016
CountryUnited States
CityLas Vegas
Period12/12/1612/14/16

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Decision Sciences (miscellaneous)
  • Control and Optimization

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    Arutyunov, A. V., Shvartsman, I. A., & Zhukovskaya, Z. T. (2016). Second order conditions in optimal control problems with equality constraints. In 2016 IEEE 55th Conference on Decision and Control, CDC 2016 (pp. 1069-1073). [7798409] (2016 IEEE 55th Conference on Decision and Control, CDC 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2016.7798409