scholarly journals Finite Time Synchronization between Two Different Chaotic Systems with Uncertain Parameters

2010 ◽  
Vol 3 (3) ◽  
Author(s):  
Wanli Yang ◽  
Xiaodong Xia ◽  
Yucai Dong ◽  
Suwen Zheng
Keyword(s):  
Finite Time ◽  
Chaotic Systems ◽  
Time Synchronization ◽  
Uncertain Parameters ◽  
Different Chaotic Systems

scholarly journals Finite-Time Synchronization of Chaotic Systems with Different Dimension and Secure Communication

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
Shouquan Pang ◽  
Yu Feng ◽  
Yongjian Liu
Keyword(s):  
Finite Time ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Time Synchronization ◽  
Secure Communications ◽  
Hyperchaotic System ◽  
Uncertain Parameters ◽  
Three Dimension ◽  
Electronic Circuits ◽  
Lorenz Chaotic System

Finite-time synchronization of chaotic systems with different dimension and secure communication is investigated. It is rigorously proven that global finite-time synchronization can be achieved between three-dimension Lorenz chaotic system and four-dimension Lorenz hyperchaotic system which have certain parameters or uncertain parameters. The electronic circuits of finite-time synchronization using Multisim 12 are designed to verify our conclusion. And the application to the secure communications is also analyzed and discussed.

scholarly journals Finite–Time Adaptive Modified Function Projective Multi–Lag Generalized Compound Synchronization for Multiple Uncertain Chaotic Systems

2018 ◽  
Vol 28 (4) ◽  
pp. 613-624
Author(s):  
Qiaoping Li ◽  
Sanyang Liu ◽  
Yonggang Chen
Keyword(s):  
Adaptive Control ◽  
Finite Time ◽  
Chaotic Systems ◽  
Time Synchronization ◽  
Control Technique ◽  
Unknown Parameters ◽  
Theoretical Derivation ◽  
Finite Time Stability ◽  
Compound Synchronization ◽  
Different Chaotic Systems

Abstract In this paper, for multiple different chaotic systems with fully unknown parameters, a novel synchronization scheme called ‘modified function projective multi-lag generalized compound synchronization’ is put forward. As an advantage of the new method, not only the addition and subtraction, but also the multiplication of multiple chaotic systems are taken into consideration. This makes the signal hidden channels more abundant and the signal hidden methods more flexible. By virtue of finite-time stability theory and an adaptive control technique, a finite-time adaptive control scheme is established to realize the finite-time synchronization and to properly evaluate the unknown parameters. A detailed theoretical derivation and a specific numerical simulation demonstrate the feasibility and validity of the advanced scheme.

scholarly journals Robust Adaptive Finite-Time Synchronization of Two Different Chaotic Systems with Parameter Uncertainties

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Yun-An Hu ◽  
Hai-Yan Li ◽  
Chun-Ping Zhang ◽  
Liang Liu
Keyword(s):  
Finite Time ◽  
Chaotic Systems ◽  
Time Synchronization ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Adaptive Synchronization ◽  
Parameter Uncertainties ◽  
Unknown Parameters ◽  
Control Approach ◽  
Different Chaotic Systems

This paper is concerned with the finite-time synchronization problem for two different chaotic systems with parameter uncertainties. Using finite-time control approach and robust control method, an adaptive synchronization scheme is proposed to make the synchronization errors of the systems with parameter uncertainties zero in a finite time. On the basis of Lyapunov stability theory, appropriate adaptive laws are derived to deal with the unknown parameters of the systems. And the convergence of the parameter errors is guaranteed in a finite time. The proposed method can be applied to a variety of chaos systems. Numerical simulations are given to demonstrate the efficiency of the proposed control scheme.

Sign in / Sign up

Export Citation Format

Share Document