Adaptive controller design for modified projective synchronization of Genesio–Tesi chaotic system with uncertain parameters

2007 ◽  
Vol 34 (4) ◽  
pp. 1154-1159 ◽  
Author(s):  
Ju H. Park
Keyword(s):  
Chaotic System ◽  
Controller Design ◽  
Adaptive Controller ◽  
Projective Synchronization ◽  
Uncertain Parameters ◽  
Modified Projective Synchronization

scholarly journals Robust Controller Design for Modified Projective Synchronization of Chen-Lee Chaotic Systems with Nonlinear Inputs

2009 ◽  
Vol 2009 ◽  
pp. 1-10 ◽  
Author(s):  
Jui-sheng Lin ◽  
Neng-Sheng Pai ◽  
Her-Terng Yau
Keyword(s):  
Chaotic Systems ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Variable Structure ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Nonlinear Controller ◽  
Input Nonlinearity ◽  
Structure Control ◽  
Modified Projective Synchronization

This study demonstrates the modified projective synchronization in Chen-Lee chaotic system. The variable structure control technology is used to design the synchronization controller with input nonlinearity. Based on Lyapunov stability theory, a nonlinear controller and some generic sufficient conditions can be obtained to guarantee the modified projective synchronization, including synchronization, antisynchronization, and projective synchronization in spite of the input nonlinearity. The numerical simulation results show that the synchronization and antisynchronization can coexist in Chen-Lee chaotic systems. It demonstrates the validity and feasibility of the proposed controller.

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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