Abstract
An attempt is made to establish the basis of vibrational control theory for nonlinear systems. The notions of vibrational stabilizability and vibrational controllability of nonlinear finite-dimensional systems are introduced and analyzed. Calculation formulas are derived. Transient behavior of vibrationally controlled nonlinear systems is studied. Several examples, including forced Duffing, Rayleigh, and Van der Pol equations, are discussed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 84-89 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| DOIs | |
| State | Published - 1984 |
| Externally published | Yes |
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization