scholarly journals Backstepping Control and Synchronization for 4-D Lorenz-Stenflo Chaotic System with Single Input

2011 ◽  
Vol 11 (3) ◽  
pp. 143-148 ◽  
Author(s):  
Sung-Hun Yu ◽  
Chang-Ho Hyun ◽  
Mig-Non Park
Keyword(s):  
Chaotic System ◽  
Backstepping Control ◽  
Single Input ◽  
Control And Synchronization

The Control and Synchronization of a Rotational Relativistic Chaotic System With Parameter Uncertainties and External Disturbance

2015 ◽  
Vol 10 (6) ◽  
Author(s):  
Runzi Luo ◽  
Yanhui Zeng
Keyword(s):  
Numerical Simulations ◽  
Chaotic System ◽  
Coordinate Transformation ◽  
External Disturbance ◽  
Parameter Uncertainties ◽  
Single Input ◽  
Control And Synchronization

This paper investigates the control and synchronization of a rotational relativistic chaotic system with parameter uncertainties and external disturbance. By using the proper coordinate transformation, some novel criteria for control or synchronization are proposed via a single input. Numerical simulations are given to show the robustness and efficiency of the proposed approach.

Impulsive Control and Synchronization of Memristor-Based Chaotic Circuits

2014 ◽  
Vol 24 (12) ◽  
pp. 1450162 ◽  
Author(s):  
Shiju Yang ◽  
Chuandong Li ◽  
Tingwen Huang
Keyword(s):  
Chaotic System ◽  
Impulsive Control ◽  
Chaotic Behavior ◽  
Memory Function ◽  
Sufficient Conditions ◽  
Impulsive System ◽  
Circuit Element ◽  
Chaotic Circuits ◽  
Control And Synchronization ◽  
Passive Circuit

The memristor is a novel nonlinear passive circuit element which has the memory function, and the circuits based on the memristors might exhibit chaotic behavior. In this paper, we revisit a memristor-based chaotic circuit, and then investigate its stabilization and synchronization via impulsive control. By impulsive system theory, some sufficient conditions for the stabilization and synchronization of the memristor-based chaotic system are established. Moreover, an estimation of the upper bound of the impulse interval is proposed under the condition that the parameters of the chaotic system and the impulsive control law are well defined. To show the effectiveness of the theoretical results, numerical simulations are also presented.

scholarly journals Parameter Estimation of a Class One-Dimensional Discrete Chaotic System

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Lidong Liu ◽  
Jinfeng Hu ◽  
Huiyong Li ◽  
Jun Li ◽  
Zishu He ◽  
...  
Keyword(s):  
Parameter Estimation ◽  
Chaotic System ◽  
Chaos Control ◽  
Mean Value ◽  
Unknown Parameters ◽  
Tent Map ◽  
One Dimensional ◽  
Chebyshev Map ◽  
Mean Value Method ◽  
Control And Synchronization

It is of vital importance to exactly estimate the unknown parameters of chaotic systems in chaos control and synchronization. In this paper, we present a method for estimating one-dimensional discrete chaotic system based on mean value method (MVM). It is proposed by exploiting the ergodic and synchronization features of chaos. It can effectively estimate the parameter value, and it is more exact than MVM. Finally, numerical simulations on Chebyshev map and Tent map show that the proposed method has better performance of parameter estimation than MVM.

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