Synchronization criteria for the master-slave generalized Lorenz chaotic systems via variable substitution control

2020 ◽  
Author(s):  
Xiaofeng Wu ◽  
Yun Chen
Keyword(s):  
Chaotic Systems ◽  
Variable Substitution

The global finite-time synchronization of a class of chaotic systems via the variable-substitution and feedback control

2021 ◽  
Author(s):  
Yun Chen ◽  
Yanyi Xu ◽  
Qian Lin
Keyword(s):  
Feedback Control ◽  
Finite Time ◽  
Chaotic Systems ◽  
Lorenz System ◽  
Time Synchronization ◽  
Optimization Technique ◽  
Third Order ◽  
Variable Substitution ◽  
The Lorenz System ◽  
Synchronization Scheme

Abstract This paper deals with the global finite-time synchronization of a class of third-order chaotic systems with some intersecting nonlinearities, which cover many famous chaotic systems. First, a simple, continuous and dimension-reducible control by the name of the variable-substitution and feedback control is designed to construct a master–slave finite-time synchronization scheme. Then, a global finite-time synchronization criterion for the synchronization scheme is proven and the synchronization time is analytically estimated. Subsequently, the criterion and optimization technique are applied to the well-known brushless direct current motor (BLDCM) system and the classic Lorenz system, respectively, further obtaining some new optimized synchronization criteria in the form of algebra. Two numerical examples for the BLDCM system and a numerical example for the Lorenz system are simulated and analyzed to verify the effectiveness of the theoretical results obtained in this paper.

GLOBAL ROBUST SYNCHRONIZATION OF A CLASS OF NONAUTONOMOUS CHAOTIC SYSTEMS WITH PARAMETER MISMATCH VIA VARIABLE SUBSTITUTION CONTROL

2011 ◽  
Vol 21 (05) ◽  
pp. 1369-1382 ◽  
Author(s):  
YUN CHEN ◽  
XIAOFENG WU ◽  
ZHIFANG GUI
Keyword(s):  
Linear Matrix Inequality ◽  
Chaotic Systems ◽  
Phase Mismatch ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequality ◽  
Single Variable ◽  
Parameter Mismatch ◽  
Robust Synchronization ◽  
Variable Substitution

This paper investigates global robust synchronization of a class of nonautonomous chaotic systems with parameter mismatch under the master–slave variable substitution control. A criterion of linear matrix inequality (LMI) for the global robust synchronization is rigorously proven and the corresponding synchronization error bound is analytically estimated. The LMI criterion is then applied to the gyrostat systems, obtaining some simple and optimized algebraic criteria for global robust synchronization of the master–slave gyrostat systems with time-varying phase mismatch under single-variable substitution configurations, further verified in a numerical example.

Synchronization of Chaotic Systems with Uncertain Time-Varying Parameters

2015 ◽  
Vol 9 (6) ◽  
pp. 568
Author(s):  
Ahmad Al-Jarrah ◽  
Mohammad Ababneh ◽  
Suleiman Bani Hani ◽  
Khalid Al-Widyan
Keyword(s):  
Chaotic Systems ◽  
Time Varying ◽  
Varying Parameters ◽  
Time Varying Parameters ◽  
Uncertain Time

A New Image Encryption Scheme Using Dual Chaotic Map Synchronization

2020 ◽  
Vol 18 (1) ◽  
Keyword(s):  
Image Encryption ◽  
Chaotic Systems ◽  
Initial Conditions ◽  
Chaotic Map ◽  
Security Applications ◽  
The Common ◽  
And Diffusion ◽  
Confusion And Diffusion ◽  
Sensitivity To Initial Conditions ◽  
Diffusion Properties

Chaotic systems behavior attracts many researchers in the field of image encryption. The major advantage of using chaos as the basis for developing a crypto-system is due to its sensitivity to initial conditions and parameter tunning as well as the random-like behavior which resembles the main ingredients of a good cipher namely the confusion and diffusion properties. In this article, we present a new scheme based on the synchronization of dual chaotic systems namely Lorenz and Chen chaotic systems and prove that those chaotic maps can be completely synchronized with other under suitable conditions and specific parameters that make a new addition to the chaotic based encryption systems. This addition provides a master-slave configuration that is utilized to construct the proposed dual synchronized chaos-based cipher scheme. The common security analyses are performed to validate the effectiveness of the proposed scheme. Based on all experiments and analyses, we can conclude that this scheme is secure, efficient, robust, reliable, and can be directly applied successfully for many practical security applications in insecure network channels such as the Internet

Sign in / Sign up

Export Citation Format

Share Document