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-time and discrete-time systems can be easily obtained from the unified approach. An illustrative example is given.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3263-3268 |
| Number of pages | 6 |
| Journal | Proceedings of the American Control Conference |
| Volume | 4 |
| State | Published - Nov 6 2003 |
| Event | 2003 American Control Conference - Denver, CO, United States Duration: Jun 4 2003 → Jun 6 2003 |