Second-Order Necessary Optimality Conditions for a Discrete Optimal Control Problem

N. T. Toan, Q. H. Ansari, J. C. Yao*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

In this paper, we study second-order necessary optimality conditions for a discrete optimal control problem with a nonconvex cost function and control constraints. By establishing an abstract result on second-order necessary optimality conditions for a mathematical programming problem, we derive second-order optimality conditions for a discrete optimal control problem.

Original languageEnglish
Pages (from-to)812-836
Number of pages25
JournalJournal of Optimization Theory and Applications
Volume165
Issue number3
DOIs
StatePublished - 1 Jun 2015

Bibliographical note

Publisher Copyright:
© 2014, Springer Science+Business Media New York.

Keywords

  • Control constraints
  • Discrete optimal control problems
  • First-order optimality conditions
  • Second-order optimality conditions

ASJC Scopus subject areas

  • Management Science and Operations Research
  • Control and Optimization
  • Applied Mathematics

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