Existence of chaos in control systems with delayed feedback
نویسندگان
چکیده
منابع مشابه
Delayed feedback control of chaos.
Time-delayed feedback control is well known as a practical method for stabilizing unstable periodic orbits embedded in chaotic attractors. The method is based on applying feedback perturbation proportional to the deviation of the current state of the system from its state one period in the past, so that the control signal vanishes when the stabilization of the target orbit is attained. A brief ...
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We study the effect of time delayed feedback control in the form proposed by Pyragas on deterministic chaos in the Rössler system. We reveal the general bifurcation diagram in the parameter plane of time delay tau and feedback strength K which allows one to explain the phenomena that have been discovered in some previous works. We show that the bifurcation diagram has essentially a multileaf st...
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The control of limit cycle oscillations is discussed for nonlinear delayed feedback systems. Through a center manifold reduction the effects of the control parameters on the periodic behavior are determined. The results are applied to the perturbed harmonic oscillator under the action of delayed feedback of position, which is a prototype system commonly arising in diverse biological and industr...
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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...
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For the time-delay feedback control of chaos synchronization problem, an idea of Lyapunov functional with time-delay decomposition is presented. Some delay-dependent synchronization criteria are formulated in the form of matrix inequalities. The controller gain with maximum allowed timedelay can be achieved by solving a set of linear matrix inequalities (LMIs). A simulation example is given to ...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1983
ISSN: 0022-0396
DOI: 10.1016/0022-0396(83)90037-2