Abstract
In this work, we study the stabilization of a pendulum system by coupling with a heat equation through the left boundary observation of the heat equation, while a velocity feedback of the pendulum system is designed to affect the same side heat flux of the heat equation. Based on the semigroup approach and Riesz basis method, the well-posedness and exponential stability of the system is deduced. Finally, some numerical simulations are presented to show the effectiveness of this feedback control design.
| Original language | English |
|---|---|
| Pages (from-to) | 2443-2449 |
| Number of pages | 7 |
| Journal | JVC/Journal of Vibration and Control |
| Volume | 20 |
| Issue number | 16 |
| DOIs | |
| Publication status | Published - 20 Dec 2014 |
Keywords
- Pendulum system
- Riesz basis
- exponential stability
- heat equation
- spectrum