Abstract
This paper is concerned with the optimal control problem of the vibrations of an elastic beam, which is governed by a non-linear partial differential equation. The functional analytical approach of Dubovitskii and Milyutin is adopted in investigation of the Pontryagin's maximum principle of the system. The necessary condition is presented for the optimal control problem in fixed final horizon case.
Original language | English |
---|---|
Pages (from-to) | 151-162 |
Number of pages | 12 |
Journal | IMA Journal of Mathematical Control and Information |
Volume | 26 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2009 |
Keywords
- Maximum principle
- Necessary condition
- Non-linear elastic beam
- Optimal control