Unified approach for Euler-Lagrange equation arising in calculus of variations

D. S. Naidu, Y. Imura

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We address the development of a unified approach for the necessary conditions for optimization of a functional arising in calculus of variations. In particular, we develop a unified approach for the Euler-Lagrange equation, that is simultaneously applicable to both shift (q)-operator-based discrete-time systems and the derivative (d/dt)-operator-based continuous-time systems. It is shown that the Euler-Lagrange results that are now obtained separately for continuous- and discrete-time systems can be easily obtained from the unified approach. An illustrative example is given.

Original languageEnglish (US)
Pages (from-to)279-293
Number of pages15
JournalOptimal Control Applications and Methods
Volume25
Issue number6
DOIs
StatePublished - Nov 1 2004

Keywords

  • Calculus of variations
  • Delta approach
  • Optimal control
  • Unified approach

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