scholarly journals Stabilization and hybrid synchronization via the adaptive control method of non-identical 4-D financial hyper-chaotic systems

2021 ◽  
Vol 9 Proceeding (1) ◽  
pp. 103-109
Author(s):  
Hannachi Fareh
Keyword(s):  
Adaptive Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Hybrid Synchronization

scholarly journals Universal Projective Synchronization of Two Different Hyperchaotic Systems with Unknown Parameters

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Baojie Zhang ◽  
Hongxing Li
Keyword(s):  
Adaptive Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Scaling Function ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Reference Systems ◽  
Unknown Parameters ◽  
Hyperchaotic Systems ◽  
Function Matrix

Universal projective synchronization (UPS) of two chaotic systems is defined. Based on the Lyapunov stability theory, an adaptive control method is derived such that UPS of two different hyperchaotic systems with unknown parameters is realized, which is up to a scaling function matrix and three kinds of reference systems, respectively. Numerical simulations are used to verify the effectiveness of the scheme.

Synchronization of a Network of Chaotic Neurons Using Adaptive Control in Noisy Environment

1998 ◽  
Vol 08 (09) ◽  
pp. 1821-1830 ◽  
Author(s):  
Bernard Cazelles
Keyword(s):  
Adaptive Control ◽  
Kalman Filter ◽  
Chaotic Systems ◽  
Control Mechanism ◽  
Control Method ◽  
Rhythmic Activity ◽  
Noisy Environment ◽  
Network Switch ◽  
Clustering Behavior

The synchronization of chaotic systems have received an increasing interest in the last few years. In an attempt to understand some of the possible mechanisms of synchronization of neurons in a noisy environment, the present study extends a control method which is based on the Kalman filter. This adaptive control mechanism is able to modulate the frequency and the clustering behavior of a network of neurons and can thus make the network switch dynamically to different rhythmic activity, leading to different coding possiblity.

scholarly journals Hybrid Synchronization Problem of a Class of Chaotic Systems by an Universal Control Method

Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 552 ◽  
Author(s):  
Zuoxun Wang ◽  
Rongwei Guo
Keyword(s):  
Chaotic Systems ◽  
Control Method ◽  
Algebraic Equations ◽  
Synchronization Problem ◽  
Universal Control ◽  
All Solutions ◽  
Nonlinear Algebraic Equations ◽  
Hybrid Synchronization ◽  
Necessary And Sufficient ◽  
Synchronization Problems

The hybrid synchronization problem of a class of chaotic systems is investigated in this paper. Firstly, the existence of hybrid synchronization problems in such systems is proved theoretically by a proposed necessary and sufficient condition. That is, the hybrid synchronization problem is equivalent to solve a group of nonlinear algebraic equations about α . It is interesting that one value of α indicates one type of synchronization. Secondly, all solutions for the hybrid synchronization problem are obtained by finding solutions of all the above equations about α . Thirdly, an universal control method is proposed to realize such hybrid synchronization problems. Finally, illustrative examples are provided to verify the validity and effectiveness of the obtained results.

GENERALIZED (LAG, ANTICIPATED AND COMPLETE) PROJECTIVE SYNCHRONIZATION IN TWO NONIDENTICAL CHAOTIC SYSTEMS WITH UNKNOWN PARAMETERS

2012 ◽  
Vol 26 (16) ◽  
pp. 1250121
Author(s):  
XINGYUAN WANG ◽  
LULU WANG ◽  
DA LIN
Keyword(s):  
Adaptive Control ◽  
Chaotic Systems ◽  
Lorenz System ◽  
Control Method ◽  
Projective Synchronization ◽  
Unknown Parameters ◽  
Chen System ◽  
Control Approach ◽  
Response System ◽  
Hyperchaotic Lorenz System

In this paper, a generalized (lag, anticipated and complete) projective synchronization for a general class of chaotic systems is defined. A systematic, powerful and concrete scheme is developed to investigate the generalized (lag, anticipated and complete) projective synchronization between the drive system and response system based on the adaptive control method and feedback control approach. The hyperchaotic Chen system and hyperchaotic Lorenz system are chosen to illustrate the proposed scheme. Numerical simulations are provided to show the effectiveness of the proposed schemes. In addition, the scheme can also be extended to research generalized (lag, anticipated and complete) projective synchronization between nonidentical discrete-time chaotic systems.

Complex Hybrid Synchronization in Drive-Response Complex-Variable Chaotic Systems

2012 ◽  
Vol 13 (7-8) ◽  
Author(s):  
Zhaoyan Wu
Keyword(s):  
Complex Variable ◽  
Chaotic Systems ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Control Scheme ◽  
Hybrid Synchronization ◽  
Complex Hybrid ◽  
First Time ◽  
In Virtue Of ◽  
Response Complex

AbstractIn this paper, the concept of complex hybrid synchronization in complex-variable chaotic system is introduced for the first time. Based on Lyapunov stability theory, two typical complex-variable chaotic systems are considered and corresponding controllers are designed to achieve complex hybrid synchronization. Further, a universal control method in virtue of adaptive control scheme is proposed. Numerical examples are provided to show the effectiveness of the proposed method.

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