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Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Sep;68(3 Pt 2):036206. Epub 2003 Sep 11.

Stability domains for time-delay feedback control with latency.

Author information

1
Department of Physics and Center for Nonlinear and Complex Systems, Duke University, Durham, North Carolina 27708, USA.

Abstract

We generalize a known analytical method for determining the stability of periodic orbits controlled by time-delay feedback methods when latencies associated with the generation and injection of the feedback signal cannot be ignored. We discuss the case of extended time-delay autosynchronization and show that nontrivial qualitative features of the domain of control observed in experiments can be explained by taking into account the effects of both the unstable eigenmode and a single stable eigenmode in the Floquet theory.

PMID:
14524867
DOI:
10.1103/PhysRevE.68.036206

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