Stability domains for time-delay feedback control with latency

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 (ETDAS) 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.

9 pages, 6 figures; Submitted to Physical Review E

References in corpus (3)

• On the Mechanism of Time--Delayed Feedback Control
• Stability of periodic orbits controlled by time-delay feedback
• Controlling spatiotemporal dynamics with time-delay feedback

Cited by in corpus (10)

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• Stabilizing continuous-wave output in semiconductor lasers by time-delayed feedback
• Delayed feedback control of unstable steady states with high-frequency modulation of the delay
• Asymptotic properties of the spectrum of neutral delay differential equations
• Improved control of delayed measured systems
• Stability borders of feedback control of delayed measured systems
• Time-delayed feedback control of delay-coupled neurosystems and lasers