Abstract
A delayed-feedback control scheme for suppressing spatial bifurcation and chaotic behavior in open-flow models is presented. It is shown that spatial bifurcation and chaotic behavior never occur when the delayed-feedback controller is designed such that the following two conditions are satisfied: all the poles of the transfer function of each site are inside a unit circle and the H∞ norm of the transfer function is less than one. A simple systematic procedure for design of the delayed-feedback controller is provided. It is confirmed that the theoretical results agree well with the numerical simulations.
| Original language | English |
|---|---|
| Pages (from-to) | 384-388 |
| Number of pages | 5 |
| Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 62 |
| Issue number | 1 A |
| DOIs | |
| Publication status | Published - Jul 2000 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics