An observer‐based exponential synchronization scheme for chaotic systems: Using advanced encryption standard as auxiliary

2020 ◽  
Vol 22 (6) ◽  
pp. 2183-2205
Author(s):  
Feng‐Hsiag Hsiao
Keyword(s):  
Chaotic Systems ◽  
Exponential Synchronization ◽  
Advanced Encryption Standard ◽  
Synchronization Scheme

Synchronization Controlling for the Chu Chaotic System via Linear Feedback

2011 ◽  
Vol 130-134 ◽  
pp. 2481-2484
Author(s):  
Ji Gui Jian ◽  
Xiao Lian Deng ◽  
Yan Jun Shen
Keyword(s):  
Feedback Control ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Simple Structure ◽  
Matrix Theory ◽  
Exponential Synchronization ◽  
Linear Feedback ◽  
Linear Feedback Control ◽  
Inequality Techniques ◽  
Synchronization Scheme

Based on inequality techniques and matrix theory, linear feedback control both with one input and one state or two states and with multi-inputs is proposed to realize the globally exponential synchronization of two Chu chaotic systems. Some new sufficient algebraic criteria for the globally exponential synchronization of two chaotic systems are obtained analytically. The controllers here designed have simple structure. Numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.

scholarly journals Exponential Synchronization of Two Nonlinearly Coupled Complex Networks with Time-Varying Delayed Dynamical Nodes

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Wei Shao
Keyword(s):  
Complex Networks ◽  
Chaotic Systems ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Exponential Synchronization ◽  
Time Varying ◽  
Time Varying Delay ◽  
Coupled Networks ◽  
Synchronization Scheme ◽  
Varying Delay

This paper investigates the exponential synchronization between two nonlinearly coupled complex networks with time-varying delay dynamical nodes. Based on the Lyapunov stability theory, some criteria for the exponential synchronization are derived with adaptive control method. Moreover, the presented results here can also be applied to complex dynamical networks with single time delay case. Finally, numerical analysis and simulations for two nonlinearly coupled networks which are composed of the time-delayed Lorenz chaotic systems are given to demonstrate the effectiveness and feasibility of the proposed complex network synchronization scheme.

Globally Exponential Synchronization for the Genesio-Tesi Chaotic System via Feedback Control with Two States

2012 ◽  
Vol 229-231 ◽  
pp. 2298-2301
Author(s):  
Jiang Hong Guo ◽  
Ji Gui Jian
Keyword(s):  
Feedback Control ◽  
Numerical Simulations ◽  
Chaotic System ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Simple Structure ◽  
Matrix Theory ◽  
Exponential Synchronization ◽  
Inequality Techniques ◽  
Synchronization Scheme

Based on matrix theory and inequality techniques, feedback control with two states is proposed to realize the globally exponential synchronization of two Genesi-Tesi chaotic systems. Some new sufficient algebraic criteria for the globally exponential synchronization of two chaotic systems are obtained analytically. The controllers here designed have simple structure. Numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.

Synchronization of Continuous Scalar Chaotic Signal from Uncertain Chaotic System

2013 ◽  
Vol 816-817 ◽  
pp. 843-846
Author(s):  
Jing Wang ◽  
Hui Zhong
Keyword(s):  
Canonical Form ◽  
Chaotic System ◽  
Chaotic Systems ◽  
System Simulation ◽  
Chaotic Signal ◽  
Response System ◽  
Synchronization Scheme

This paper presents the synchronizing problem of scalar chaotic signal. A class of nonlinear chaotic systems is discussed which has unknown part in model. The proposed approach is based on canonical form of the response system. Simulation result shows the effectiveness of our synchronization scheme.

scholarly journals Complex Modified Projective Synchronization of Fractional-Order Complex-Variable Chaotic System with Unknown Complex Parameters

Entropy ◽  
2019 ◽  
Vol 21 (4) ◽  
pp. 407
Author(s):  
Zhang ◽  
Feng ◽  
Yang
Keyword(s):  
Fractional Order ◽  
Complex Variable ◽  
Chaotic Systems ◽  
Projective Synchronization ◽  
Order Complex ◽  
Modified Projective Synchronization ◽  
Simulation Results ◽  
Synchronization Scheme ◽  
Complex Valued ◽  
Variable Inequality

This paper investigates the problem of complex modified projective synchronization (CMPS) of fractional-order complex-variable chaotic systems (FOCCS) with unknown complex parameters. By a complex-variable inequality and a stability theory for fractional-order nonlinear systems, a new scheme is presented for constructing CMPS of FOCCS with unknown complex parameters. The proposed scheme not only provides a new method to analyze fractional-order complex-valued systems but also significantly reduces the complexity of computation and analysis. Theoretical proof and simulation results substantiate the effectiveness of the presented synchronization scheme.

scholarly journals A switching synchronization scheme for a class of chaotic systems

2002 ◽  
Vol 301 (3-4) ◽  
pp. 241-249 ◽  
Author(s):  
Ömer Morgül ◽  
Murat Akgül
Keyword(s):  
Chaotic Systems ◽  
Synchronization Scheme
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