Impulsive control on the synchronization for a class of chaotic Systems

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.

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Function Projective Lag Synchronization of Chaotic Systems with Certain Parameters via Adaptive-Impulsive Control

International Journal of Automation and Computing ◽

10.1007/s11633-016-1020-4 ◽

2017 ◽

Vol 16 (2) ◽

pp. 238-247 ◽

Cited By ~ 1

Author(s):

Xiu-Li Chai ◽

Zhi-Hua Gan

Keyword(s):

Chaotic Systems ◽

Impulsive Control ◽

Lag Synchronization ◽

Projective Lag Synchronization

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Delayed impulive SDEs driven by multiplicative fBm noise and additive fBm noise

10.22541/au.161740932.25042550/v1 ◽

2021 ◽

Author(s):

Xia Zhou ◽

Dongpeng Zhou ◽

Xiu Liu ◽

Jinde Cao ◽

Changfeng Xue

Keyword(s):

Chaotic Systems ◽

Impulsive Control ◽

Chaotic Oscillator ◽

Mean Square ◽

Ultimate Boundedness ◽

Response System ◽

Pth Moment Exponential Stability ◽

The Stability ◽

Moment Exponential Stability ◽

Lyapunov Technique

The stability and boundedness for delayed impulsive SDEs driven by fBm are studied in this paper. Two kinds of noises, i.e, additive fBm noise and mul-tiplicative fBm noise are both taken into consideration. By using stochastic Lyapunov technique and impulsive control theory, sufficient criteria for pth moment exponential stability and mean square ultimate boundedness are derived, for two kinds of fBm driven delayed impulsive SDEs, respectively. As application, the obtained results are used to do practical synchronization w.r.t. a class of chaotic systems, in which the response system is perturbed by additive fBm noises. Finally, A Chua chaotic oscillator is given to verify the validity and applicability of the derived results.

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