Conjugate points for variational problems with equality and inequality state constraints

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In this paper, variational problems with equality and inequality state constraints are considered. The theory of conjugate points for these problems is developed, and necessary conditions for weak local optimality are derived in terms of this concept and the Legendre condition. For the case of inequality constraints, the envelope-like effect is taken into consideration in the accessory problem.

Original languageEnglish
Pages (from-to)433-456
Number of pages24
JournalSIAM Journal on Control and Optimization
Volume39
Issue number2
DOIs
Publication statusPublished - Dec 1 2000

Fingerprint

Conjugate points
State Constraints
Accessories
Inequality Constraints
Variational Problem
Equality
Local Optimality
Legendre
Envelope
Necessary Conditions
Concepts

All Science Journal Classification (ASJC) codes

  • Control and Optimization
  • Applied Mathematics

Cite this

Conjugate points for variational problems with equality and inequality state constraints. / Kawasaki, Hidefumi; Zeidan, V.

In: SIAM Journal on Control and Optimization, Vol. 39, No. 2, 01.12.2000, p. 433-456.

Research output: Contribution to journalArticle

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