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Stability domains for time-delay feedback control with latency.

Publication ,  Journal Article
Hövel, P; Socolar, JES
Published in: Physical review. E, Statistical, nonlinear, and soft matter physics
September 2003

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.

Duke Scholars

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

September 2003

Volume

68

Issue

3 Pt 2

Start / End Page

036206

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Hövel, P., & Socolar, J. E. S. (2003). Stability domains for time-delay feedback control with latency. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 68(3 Pt 2), 036206. https://doi.org/10.1103/physreve.68.036206
Hövel, Philipp, and Joshua E. S. Socolar. “Stability domains for time-delay feedback control with latency.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 68, no. 3 Pt 2 (September 2003): 036206. https://doi.org/10.1103/physreve.68.036206.
Hövel P, Socolar JES. Stability domains for time-delay feedback control with latency. Physical review E, Statistical, nonlinear, and soft matter physics. 2003 Sep;68(3 Pt 2):036206.
Hövel, Philipp, and Joshua E. S. Socolar. “Stability domains for time-delay feedback control with latency.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 68, no. 3 Pt 2, Sept. 2003, p. 036206. Epmc, doi:10.1103/physreve.68.036206.
Hövel P, Socolar JES. Stability domains for time-delay feedback control with latency. Physical review E, Statistical, nonlinear, and soft matter physics. 2003 Sep;68(3 Pt 2):036206.

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

September 2003

Volume

68

Issue

3 Pt 2

Start / End Page

036206

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences