Unified Approach for Euler-Lagrange Equation Arising in Calculus of Variations

D. Subbaram Naidu, Yoshiko Imura

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations


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-time and discrete-time systems can be easily obtained from the unified approach. An illustrative example is given.

Original languageEnglish (US)
Pages (from-to)3263-3268
Number of pages6
JournalProceedings of the American Control Conference
StatePublished - 2003
Event2003 American Control Conference - Denver, CO, United States
Duration: Jun 4 2003Jun 6 2003


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