Synchronization of Chaotic Delayed Neural Networks via Sampled-Data Feedback Control with Stochastic Sampling

2012 ◽  
pp. 217-222 ◽  
Author(s):  
Yan Chen ◽  
Xiaomei Zhang ◽  
Guiyin Shi ◽  
Zhenjuan Zhang ◽  
Weiguo Ma
Keyword(s):  
Neural Networks ◽  
Feedback Control ◽  
Sampled Data ◽  
Delayed Neural Networks ◽  
Stochastic Sampling ◽  
Data Feedback

Time-Delayed Sampled-Data Feedback Control of Differential Systems Undergoing Hopf Bifurcation

2021 ◽  
Vol 31 (01) ◽  
pp. 2150004
Author(s):  
Huan Su ◽  
Jing Xu
Keyword(s):  
Hopf Bifurcation ◽  
Feedback Control ◽  
Blood Transfusion ◽  
Sampling Period ◽  
Delayed Feedback Control ◽  
Control Technique ◽  
Blood Collection ◽  
Sampled Data ◽  
Differential Systems ◽  
Data Feedback

In this paper, time-delayed sampled-data feedback control technique is used to asymptotically stabilize a class of unstable delayed differential systems. Through the analysis for the distribution change of eigenvalues, an effective interval of the control parameter is obtained for a given sampling period. Here an indirect strategy is taken. Specifically, the system of continuous-time delayed feedback control is studied first by Hopf bifurcation theory. And then, the result and implicit function theorem are used to analyze the system of time-delayed sampled-data feedback control with a sufficiently small sampling period. Considering the practical criterion for the size of sampling period, the upper bound of sampling period is estimated. Finally, an application example, an unstable Mackey–Glass model, is asymptotically stabilized by introducing a blood transfusion item with time-delayed sampled-data feedback control. The blood transfusion speed and blood collection test period are derived from the main results. Some simulations and comparisons show the correctness and advantages of the main theoretical results.

Reduction of magnetic field fluctuations in powered magnets for NMR using inductive measurements and sampled-data feedback control

2011 ◽  
Vol 212 (2) ◽  
pp. 254-264 ◽  
Author(s):  
Mingzhou Li ◽  
Jeffrey L. Schiano ◽  
Jenna E. Samra ◽  
Kiran K. Shetty ◽  
William W. Brey
Keyword(s):  
Magnetic Field ◽  
Feedback Control ◽  
Sampled Data ◽  
Data Feedback ◽  
Field Fluctuations

Synchronization of delayed neural networks with Lévy noise and Markovian switching via sampled data

2015 ◽  
Vol 81 (3) ◽  
pp. 1179-1189 ◽  
Author(s):  
Jun Yang ◽  
Wuneng Zhou ◽  
Peng Shi ◽  
Xueqing Yang ◽  
Xianghui Zhou ◽  
...  
Keyword(s):  
Neural Networks ◽  
Markovian Switching ◽  
Lévy Noise ◽  
Sampled Data ◽  
Delayed Neural Networks ◽  
Levy Noise

scholarly journals Control of Chaos Using Sampled-Data Feedback Control

1998 ◽  
Vol 08 (12) ◽  
pp. 2433-2438 ◽  
Author(s):  
Tao Yang
Keyword(s):  
Feedback Control ◽  
Asymptotic Stability ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Sampling Rate ◽  
Control Input ◽  
Sampled Data ◽  
Control Of Chaos ◽  
Data Feedback ◽  
Theoretical Results

In this paper we present a theory for control of chaotic systems using sampled data. The output of the chaotic system is sampled at a given sampling rate and the sampled output is used by a feedback subsystem to construct a control signal, which is held constant by a holding subsystem. Hence, during each control iteration, the control input remains unchanged. Theoretical results on the asymptotic stability of the resulting controlled chaotic systems are presented. Numerical experimental results via Chua's circuit are used to verify the theoretical results.

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