Controlling extended systems with spatially filtered, time-delayed feedback
نویسندگان
چکیده
منابع مشابه
time - delayed feedback control in autonomous systems
We propose a necessary condition for the successful stabilization of a periodic orbit, using the extended version of time-delayed feedback control. This condition depends on the number of real Floquetmultipliers larger than unity and is therefore related to the wellknown odd-number limitation in non-autonomous systems. We show that the period of the orbit that is induced by mismatching the dela...
متن کاملControl of Time-delayed Lpv Systems Using Delayed Feedback
In this paper, the delayed (memory) feedback synthesis problem for linear parameter varying (LPV) systems with parameter-varying time delays is introduced and addressed. It is assumed that the state-space data and the timedelay depend continuously on the parameters which are measurable in real-time and vary in a compact set with bounded variation rates. Synthesis conditions for stabilization an...
متن کاملControl of unstable steady states by extended time-delayed feedback.
Time-delayed feedback methods can be used to control unstable periodic orbits as well as unstable steady states. We present an application of extended time delay autosynchronization introduced by Socolar [Phys. Rev. E 50, 3245 (1994)] to an unstable focus. This system represents a generic model of an unstable steady state which can be found, for instance, in Hopf bifurcation. In addition to the...
متن کاملControlling oscillator coherence by delayed feedback.
We demonstrate that the coherence of a noisy or chaotic self-sustained oscillator can be efficiently controlled by the delayed feedback. We develop a theory of this effect, considering noisy systems in the Gaussian approximation. We obtain a closed equation system for the phase diffusion constant and the mean frequency of oscillation. For weak feedback and strong noise, the theory is in good ag...
متن کاملStable time filtering of strongly unstable spatially extended systems.
Many contemporary problems in science involve making predictions based on partial observation of extremely complicated spatially extended systems with many degrees of freedom and with physical instabilities on both large and small scale. Various new ensemble filtering strategies have been developed recently for these applications, and new mathematical issues arise. Because ensembles are extreme...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 1997
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.55.2119