Abstract
Conditions for the existence of stabilizing vibrations are derived for a class of distributed-parameter systems governed by parabolic partial differential equations with Neumann boundary conditions. Guidelines for the choice of the vibration parameters that ensure stabilization are given. The transient behavior of vibrationally controlled systems is also studied. Examples of vibrational stabilization of unstable systems by linear multiplicative and vector additive vibrations are given to support the theory.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1438-1443 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 2 |
| State | Published - 1989 |
| Event | Proceedings of the 28th IEEE Conference on Decision and Control. Part 2 (of 3) - Tampa, FL, USA Duration: Dec 13 1989 → Dec 15 1989 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization