scholarly journals Adaptive control for modified projective synchronization of a four-dimensional chaotic system with uncertain parameters

2008 ◽  
Vol 213 (1) ◽  
pp. 288-293 ◽  
Author(s):  
Ju H. Park
Keyword(s):  
Adaptive Control ◽  
Chaotic System ◽  
Projective Synchronization ◽  
Uncertain Parameters ◽  
Modified Projective Synchronization

Parameter Identification of a Class of Non-Autonomous Chaotic Systems

2012 ◽  
Vol 170-173 ◽  
pp. 3381-3384
Author(s):  
Li Xin Yang ◽  
Wan Sheng He ◽  
Xiao Jun Liu
Keyword(s):  
Adaptive Control ◽  
Parameter Identification ◽  
Systems Theory ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Uncertain Parameters ◽  
Theory Analysis ◽  
Accurate Identification ◽  
Adaptive Law ◽  
The Stability

we study the parameter identification of a class of non-autonomous chaotic system in this paper. Based on the stability theory, we implement accurate identification by suitable adaptive law are given to identify any uncertain parameters of a class of nonautonmous chaotic systems. Theory analysis and numerical simulations of Dufffing chaotic system is presented to verify that the adaptive control to identify the parameters are effective and feasible.

Cluster modified projective synchronization between community networks

2015 ◽  
Vol 26 (10) ◽  
pp. 1550110 ◽  
Author(s):  
Shahed Vahedi ◽  
Mohd Salmi Md Noorani
Keyword(s):  
Adaptive Control ◽  
Controller Design ◽  
Lyapunov Stability Theory ◽  
Scaling Factor ◽  
Projective Synchronization ◽  
Community Networks ◽  
Arbitrary Matrix ◽  
Control Gain ◽  
Modified Projective Synchronization ◽  
Matrix Scaling

Cluster modified projective synchronization of two community networks with nonidentical nodes is studied in this paper. Each network has a unique dynamics and its clusters have different parameter sets which could make their dynamics chaotic or periodic for instance. Therefore, we are dealing with varieties of dynamics in these clusters. By introducing an adaptive control gain in our controller design and using Lyapunov stability theory, we show that two community networks can reach to the synchronized state having arbitrary matrix scaling factor between corresponding nodes of the networks. Moreover, using this matrix we can observe different synchronization regimes simultaneously in each pair of corresponding nodes.

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