Domain of attraction for stabilized orbits in time delayed feedback controlled Duffing systems
نویسندگان
چکیده
منابع مشابه
Domain of attraction for stabilized orbits in time delayed feedback controlled Duffing systems.
Time delayed feedback control is well known as a practical method for stabilizing unstable periodic orbits embedded in chaotic attractors. However, this control method still has an open problem of estimating domain of attraction for target unstable periodic orbits. In this paper, we numerically discuss the domain of attraction in Duffing systems under the control method. The disturbance to init...
متن کاملPersistence of chaos in a time-delayed-feedback controlled Duffing system.
This paper concerns global phase structures of a time-delayed-feedback controlled two-well Duffing system. The remains of a global stretch and fold structure along an unstable manifold, which develops from an unstable fixed point in function space, reveals that the global chaotic dynamics is inherited from the original system by the controlled system. The remains of the original chaotic dynamic...
متن کاملContinuous pole placement method for time-delayed feedback controlled systems
Continuous pole placement method is adapted to time-periodic states of systems with time delay. The method is applied for finding an optimal control matrix in the problem of stabilization of unstable periodic orbits of dynamical systems via time-delayed feedback control algorithm. The optimal control matrix ensures the fastest approach of a perturbed system to the stabilized orbit. An applicati...
متن کاملtime - 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 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: 2004
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.69.056209