Abstract
In this article, we are concerned with optimal control for the transverse vibration of a moving string with time-varying lengths. In the fixed final time horizon case, the Pontryagin maximum principle is established for the investigational system with a moving boundary, owing to the Dubovitskii and Milyutin functional analytical approach. A remark then follows for discussing the utilization of obtained necessary optimality condition.
| Original language | English |
|---|---|
| Pages (from-to) | 733-746 |
| Number of pages | 14 |
| Journal | Mathematical Control and Related Fields |
| Volume | 12 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Sept 2022 |
Keywords
- Optimal control
- maximum principle
- moving boundary
- necessary optimality condition
- time-varying length
- transverse vibration