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 journalArticle

3 Citations (Scopus)

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 2012
Externally publishedYes

Fingerprint

Saddlepoint
Lagrange
Optimal Control Problem
Fractional
Weak Efficiency
Necessary Conditions
Sufficient Conditions
Class
Optimal control
Relationships

Keywords

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

ASJC Scopus subject areas

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

Cite this

Generalized Lagrange Function and Generalized Weak Saddle Points for a Class of Multiobjective Fractional Optimal Control Problems. / Liu, Haijun; Fan, Neng; Pardalos, Panos M.

In: Journal of Optimization Theory and Applications, Vol. 154, No. 2, 08.2012, p. 370-381.

Research output: Contribution to journalArticle

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