The Model of Liu Chaotic Synchronization with Oscillating Parameters under the Impulsive Control

2011 ◽  
Vol 480-481 ◽  
pp. 1378-1382
Author(s):  
Yan Hui Chen
Keyword(s):  
Chaotic System ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Impulsive Control ◽  
Impulsive Differential Equations ◽  
Chaotic Synchronization ◽  
Control Signal ◽  
Synchronization Control ◽  
Security Risks ◽  
Control Scheme

The control of chaotic synchronization is the kernel technology in chaos-based secure communication. Those control methods have to transmitting control signal which increase the security risks of the communication system. Attacker can reconstruct the chaotic system or estimate parameters by using the information of the chaotic system. In this paper we propose a hybrid Liu chaotic synchronization control scheme which contains both continuous chaotic system with oscillating parameters approach to 0 and discrete chaotic system. By theory of impulsive differential equations, we proved a theorem that two continuous Liu chaotic systems can get synchronized without control signal transmitting which has reduced the risk of the security.

A Novel Impulsive Control Synchronization of a Lorenz Chaotic Scheme with Special Parameters

2012 ◽  
Vol 466-467 ◽  
pp. 1305-1309
Author(s):  
Yan Hui Chen
Keyword(s):  
Chaotic System ◽  
Secure Communication ◽  
Impulsive Control ◽  
Chaotic Synchronization ◽  
Control Signal ◽  
Synchronization Control ◽  
Control Scheme ◽  
Two Systems ◽  
The Common ◽  
Common Problems

One of the common problems of chaos-based secure communication is all these methods need control signal be transmitted in public channel between connectors. Attacker can reconstruct the chaotic system or estimate parameters by using the information of the chaotic system which can be obtained by analyzing the control signal. Therefore we propose a hybrid chaotic synchronization control scheme which contains both continuous chaotic system with Special oscillating parameters and discrete chaotic system. The two systems can get synchronized without control signal transmitting which has reduced the risk of the security.

The Model of Super-Chen Chaotic Scheme with Oscillating Parameters under the Impulsive Control

2011 ◽  
Vol 282-283 ◽  
pp. 608-611
Author(s):  
Ying Kui Li
Keyword(s):  
Chaotic System ◽  
Communication System ◽  
Secure Communication ◽  
Impulsive Control ◽  
Chaotic Synchronization ◽  
Control Signal ◽  
Control Methods ◽  
Security Risks ◽  
Two Systems ◽  
Synchronization Scheme

The control of chaotic synchronization is the kernel technology in chaos-based secure communication. Those control methods have to transmitting control signal which increase the security risks of the communication system. Attacker can reconstruct the chaotic system or estimate parameters by using the information of the chaotic system. In this paper we propose a hybrid Super Chen chaotic synchronization scheme control which contains both continuous chaotic system with oscillating parameters and discrete chaotic system. If oscillating parameters satisfyingwhen , we proved that two systems can get synchronized without control signal transmitting.

The Synchronization of Super-Chen Chaotic Scheme with a Sort of Oscillating Parameters

2011 ◽  
Vol 282-283 ◽  
pp. 612-615
Author(s):  
Ying Kui Li
Keyword(s):  
Chaotic System ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Chaotic Synchronization ◽  
Control Signal ◽  
Synchronization Control ◽  
Two Systems ◽  
Control And Synchronization ◽  
Synchronization Scheme

Most properties of Super Chen’s chaotic system satisfy with the requirements of secure communication and cryptography. Implusive stabilzation for control and synchronization of Super Chen’s chaotic systems can be applied in secure communication. Super Chen’s Chaotic synchronization control can be the kernel technology in chaos-based secure commu-nication. In this paper we propose a hybrid Super Chen chaotic synchronization scheme control which contains both continuous chaotic system with a sort of oscillating parameters and discrete chaotic system. If oscillating parameters approach to 0, we proved that two systems can get synchronized without control signal transmitting.

scholarly journals Robust Synchronization of the Unified Chaotic System

2015 ◽  
Vol 5 (1) ◽  
pp. 102
Author(s):  
Hatem Trabelsi ◽  
Mohamed Benrejeb
Keyword(s):  
Chaotic System ◽  
Chaotic Systems ◽  
Synchronization Control ◽  
Compound Matrices ◽  
Synchronization Problem ◽  
Unified Chaotic System ◽  
Unified Chaotic Systems ◽  
Robust Synchronization ◽  
Control Scheme ◽  
Unknown System

<p>The paper investigates the synchronization problem of the unified chaotic system. The case of identical, but unknown master and slave unified chaotic systems is considered. Based on compound matrices formalism, a unified synchronization control scheme is proposed independently of the unknown system parameter. Simulation results are provided to show the effectiveness of the presented scheme.</p>

Impulsive Control of Nonautonomous Chaotic Systems using Practical Stabilization

1998 ◽  
Vol 08 (07) ◽  
pp. 1557-1564 ◽  
Author(s):  
Tao Yang ◽  
Johan A. K. Suykens ◽  
Leon O. Chua
Keyword(s):  
Phase Space ◽  
Differential Equations ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Impulsive Control ◽  
Impulsive Differential Equations ◽  
Small Region ◽  
Asymptotic Stabilization ◽  
Practical Stabilization

In this paper, we use the concept of practical stabilization of impulsive differential equations for controlling nonautonomous chaotic systems. Instead of controlling a chaotic system to a point as in the case of asymptotic stabilization, the aim of practical control is to stabilize a chaotic system into a small region of phase space. This method is useful to control a chaotic system into a prescribed region. We present the theory of controlling a nonautonomous chaotic system into a small region around the origin and illustrate the method on Duffing's oscillator.

IMPULSIVE CONTROL FOR T–S FUZZY SYSTEM AND ITS APPLICATION TO CHAOTIC SYSTEMS

2006 ◽  
Vol 16 (08) ◽  
pp. 2417-2423 ◽  
Author(s):  
YAN-WU WANG ◽  
ZHI-HONG GUAN ◽  
HUA O. WANG ◽  
JIANG-WEN XIAO
Keyword(s):  
Chaotic System ◽  
Fuzzy System ◽  
Chaotic Systems ◽  
Lorenz System ◽  
Control Structure ◽  
Impulsive Control ◽  
Fuzzy Model ◽  
Chua's Circuit ◽  
Control Scheme ◽  
The Stability

An impulsive T–S fuzzy model is presented in this paper. The stability of impulsive controlled T–S fuzzy system has been analyzed theoretically. The proposed impulsive control scheme seems to have a simple control structure and may need less control energy than the normal continuous ones for the stabilization of T–S fuzzy system. Some typical chaotic systems, such as Chua's circuit, Lorenz system and Chen's chaotic system, are considered as illustrations to demonstrate the effectiveness of the proposed control scheme.

Impulsive Control and Practical Generalized Synchronization of a Class of Uncertain Chaotic System with a Given Manifold

2015 ◽  
Vol 782 ◽  
pp. 296-301
Author(s):  
Jian Xu Ding ◽  
Cheng Wang ◽  
Yong Bi
Keyword(s):  
Differential Equations ◽  
Numerical Simulations ◽  
Chaotic System ◽  
Stability Theory ◽  
Chaotic Systems ◽  
Impulsive Control ◽  
Impulsive Differential Equations ◽  
Coupled Systems ◽  
Generalized Synchronization

In this paper, we study practical generalized synchronization of uncertain chaotic system with a given manifold Y = H(X). We construct a class of the bi-directionally coupled chaotic systems with impulsive control, and demonstrate theoretically that the bi-coupled systems could realize practical generalized synchronization on the basis of stability theory of impulsive differential equations. Numerical simulations with super-chaotic system are provided to further demonstrate the effectiveness and generality of our approach.

scholarly journals Study on Chaotic Fault Tolerant Synchronization Control Based on Adaptive Observer

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Dongming Chen ◽  
Xinyu Huang ◽  
Tao Ren
Keyword(s):  
Secure Communication ◽  
Chaotic Systems ◽  
Fault Tolerant ◽  
Sufficient Conditions ◽  
Adaptive Observer ◽  
Synchronization Control ◽  
Slave System ◽  
Chen System ◽  
Master System ◽  
Abrupt Faults

Aiming at the abrupt faults of the chaotic system, an adaptive observer is proposed to trace the states of the master system. The sufficient conditions for synchronization of such chaotic systems are also derived. Then the feasibility and effectiveness of the proposed method are illustrated via numerical simulations of chaotic Chen system. Finally, the proposed synchronization schemes are applied to secure communication system successfully. The experimental results demonstrate that the employed observer can manage real-time fault diagnosis and parameter identification as well as states tracing of the master system, and so the synchronization of master system and slave system is achieved.

LAG PROJECTIVE STOCHASTIC PERTURBED SYNCHRONIZATION FOR CHAOTIC SYSTEMS AND ITS APPLICATION IN SECURE COMMUNICATION

2008 ◽  
Vol 22 (24) ◽  
pp. 4175-4188 ◽  
Author(s):  
YANG TANG ◽  
JIAN-AN FANG ◽  
LIANG CHEN
Keyword(s):  
Chaotic System ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Stochastic Perturbation ◽  
Projective Synchronization ◽  
Unknown Parameters ◽  
Adaptive Feedback ◽  
Communication Scheme ◽  
Simulation Results ◽  
Feedback Method

In this paper, a simple and systematic adaptive feedback method for achieving lag projective stochastic perturbed synchronization of a new four-wing chaotic system with unknown parameters is presented. Moreover, a secure communication scheme based on the adaptive feedback lag projective synchronization of the new chaotic systems with stochastic perturbation and unknown parameters is presented. The simulation results show the feasibility of the proposed method.

Matrix Projective Synchronization of Chaotic Systems and the Application in Secure Communication

2014 ◽  
Vol 644-650 ◽  
pp. 4216-4220
Author(s):  
Feng Liu
Keyword(s):  
Chaotic System ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Chaotic Signal ◽  
Projective Synchronization ◽  
Information Signal ◽  
Simulation Results

First of all, we investigate adaptive matrix projective synchronization of the chaotic system. Finally, this method is applied to secure communication through improved chaotic masking. The information signal is mixed with the chaotic signal before being transmitted, and is recovered without distortion through the synchronized receiver. Simulation results show that the scheme has a good performance.

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