Generalized Lagrange Function and Generalized Weak Saddle Points for a Class of Multiobjective Fractional Optimal Control Problems

Haijun Liu, Neng Fan, Panos M. Pardalos

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

By constructing a kind of generalized Lagrange function for a class of multiobjective fractional optimal control problems, sufficient and necessary conditions for existence of generalized weak saddle points are established. In addition, the relationship between weak efficiency and generalized weak saddle points is discussed.

Original languageEnglish (US)
Pages (from-to)370-381
Number of pages12
JournalJournal of Optimization Theory and Applications
Volume154
Issue number2
DOIs
StatePublished - Aug 1 2012
Externally publishedYes

Keywords

  • Generalized Lagrange function
  • Multiobjective fractional optimal control problems
  • Weak saddle points

ASJC Scopus subject areas

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

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