A new sampling interval fragmentation approach to synchronization of chaotic Lur’e systems

2019 ◽  
Vol 348 ◽  
pp. 12-24 ◽  
Author(s):  
Huilan Yang ◽  
Xin Wang ◽  
Lan Shu ◽  
Guozhu Zhao ◽  
Shouming Zhong
Keyword(s):  
Sampling Interval ◽  
Lur’E Systems ◽  
Chaotic Lur’E Systems

A Global Synchronization Theorem for a Class of Chaotic Systems

1998 ◽  
Vol 08 (06) ◽  
pp. 1363-1369 ◽  
Author(s):  
Xiao Fan Wang ◽  
Zhi Quan Wang
Keyword(s):  
Chaotic Systems ◽  
Drive System ◽  
Chaotic Oscillator ◽  
Error Feedback ◽  
Global Synchronization ◽  
Lur’E Systems ◽  
State Variable ◽  
Chaotic Lur’E Systems ◽  
Driving Signal

This Letter proposes a new synchronization theorem for a subclass of chaotic Lur'e systems. We take a specific state variable of the drive system as the driving signal. We prove that globally synchronization can be attained via the simple linear error feedback. The approach is illustrated using Chua's chaotic oscillator and a hyperchaotic oscillator.

Nonlinear H∞ Synchronization of Chaotic Lur'e Systems

1997 ◽  
Vol 07 (06) ◽  
pp. 1323-1335 ◽  
Author(s):  
J. A. K. Suykens ◽  
J. Vandewalle ◽  
L. O. Chua
Keyword(s):  
Tracking Error ◽  
Feedback Mechanism ◽  
Channel Noise ◽  
Lur’E Systems ◽  
Synchronization Problem ◽  
Chaotic Lur’E Systems ◽  
Feedback Matrix ◽  
System Theoretical Approach ◽  
Field Modulation ◽  
Synchronization Scheme

In this paper a master-slave synchronization scheme for Lur'e systems is investigated, which consists of vector field modulation by means of the message signal. Using a full state error feedback mechanism and formulating the synchronization problem within the standard plant framework of modern control theory, it is shown how the original message can be recovered for a class of binary-valued continuous time reference inputs or message signals. Input/output properties of the synchronization scheme are analyzed using the system-theoretical approach of dissipativity with a quadratic storage function and a supply rate of finite L2-gain. The feedback matrix is designed such that the influence of the exogenous input on a tracking error is minimized, corresponding to a so-called nonlinear H∞ synchronization scheme. Channel noise is taken into account in the design. The method is illustrated on Chua's circuit and an n-double scroll circuit.

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