Unified approach for open-loop optimal control

Y. Imura, D. S. Naidu

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We develop a unified approach for the necessary conditions for optimization of open-loop control systems, starting from the basic principles of calculus of variations. The unified approach results are 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 optimal condition 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)59-75
Number of pages17
JournalOptimal Control Applications and Methods
Issue number2
StatePublished - Mar 1 2007


  • Continuous-time systems
  • Delta approach
  • Discrete-time systems
  • Open-loop optimal control
  • Unified approach


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