Abstract
A delayed-feedback control scheme is presented for suppressing spatial bifurcation and chaotic behavior in open-flow models. 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 norm of the transfer function is less than 1. We provide a simple systematic procedure for design of the delayed-feedback controller. It is confirmed that our theoretical results agree well with the numerical simulations.
- Received 7 February 2000
DOI:https://doi.org/10.1103/PhysRevE.62.384
©2000 American Physical Society