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 |
Fingerprint
ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics
Cite this
Delayed-feedback control of spatial bifurcations and chaos in open-flow models. / Konishi, Keiji; Kokame, Hideki; Hirata, Kentaro.
In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 62, No. 1 A, 07.2000, p. 384-388.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Delayed-feedback control of spatial bifurcations and chaos in open-flow models
AU - Konishi, Keiji
AU - Kokame, Hideki
AU - Hirata, Kentaro
PY - 2000/7
Y1 - 2000/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0034225630&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0034225630&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.62.384
DO - 10.1103/PhysRevE.62.384
M3 - Article
AN - SCOPUS:0034225630
VL - 62
SP - 384
EP - 388
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 1 A
ER -