Robust Impulsive Control and Synchronization of Unified Chaotic System with Uncertainties

2010 ◽  
Author(s):  
Zheng Suwen ◽  
Yang Wanli ◽  
Huang Li ◽  
Liu Junhong
Keyword(s):  
Chaotic System ◽  
Impulsive Control ◽  
Unified Chaotic System ◽  
Control And Synchronization

Impulsive control and synchronization of unified chaotic system

2004 ◽  
Vol 20 (4) ◽  
pp. 751-758 ◽  
Author(s):  
Shihua Chen ◽  
Qing Yang ◽  
Changping Wang
Keyword(s):  
Chaotic System ◽  
Impulsive Control ◽  
Unified Chaotic System ◽  
Control And Synchronization

scholarly journals Stabilization and Synchronization of Unified Chaotic System via Impulsive Control

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Cheng Hu ◽  
Haijun Jiang
Keyword(s):  
Control Theory ◽  
Numerical Simulations ◽  
Chaotic System ◽  
Impulsive Control ◽  
Auxiliary Function ◽  
Unified Chaotic System ◽  
Piecewise Continuous ◽  
Control And Synchronization ◽  
Theoretical Results

The impulsive control and synchronization of unified chaotic system are proposed. By applying impulsive control theory and introducing a piecewise continuous auxiliary function, some novel and useful conditions are provided to guarantee the globally asymptotical stabilization and synchronization of unified chaotic system under impulsive control. Compared with some previous results, our criteria are superior and less conservative. Finally, the effectiveness of theoretical results is shown through numerical simulations.

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.

The Control and Synchronization of a Class of Chaotic Systems With Output Variable and External Disturbance

2016 ◽  
Vol 11 (5) ◽  
Author(s):  
Runzi Luo ◽  
Yanhui Zeng
Keyword(s):  
Chaotic System ◽  
Chaotic Systems ◽  
External Disturbance ◽  
Output Variable ◽  
Output State ◽  
State Variable ◽  
Unified Chaotic System ◽  
Control And Synchronization

This paper investigates the control and synchronization of a class of chaotic systems with external disturbance. The chaotic systems are assumed that only the output state variable is available. By using the output state variable, two types synchronization schemes, i.e., the chaos-based synchronization and the observer-based synchronization schemes, are discussed. Some novel criteria for the control and synchronization of a class of chaotic systems with external disturbance are proposed. The unified chaotic system is taken as an example to demonstrate the efficiency of the proposed approach.

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