Generalized synchronization via the differential primitive element

2014 ◽  
Vol 232 ◽  
pp. 848-857 ◽  
Author(s):  
Rafael Martínez-Guerra ◽  
Juan L. Mata-Machuca
2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Carlos Aguilar-Ibanez ◽  
R. Martínez-Guerra ◽  
C. Pérez-Pinacho ◽  
E. García-Canseco ◽  
Miguel S. Suarez-Castanon

A solution to the output-feedbackgeneralized synchronizationproblem for two chaotic systems, namely, the master and the slave, is presented. The solution assumes that the slave is controlled by a single input, and the states of each system are partially known. To this end, both systems are expressed in their corresponding observable generalized canonical form, through their differential primitive element. The nonavailable state variables of both systems are recovered using a suitable Luenberger observer. The convergence analysis was carried out using the linear control approach in conjunction with the Lyapunov method. Convincing numerical simulations are presented to assess the effectiveness of the obtained solution.


2021 ◽  
Vol 31 (8) ◽  
pp. 083106
Author(s):  
Olga I. Moskalenko ◽  
Alexey A. Koronovskii ◽  
Anton O. Selskii ◽  
Evgeniy V. Evstifeev

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