Synchronization and Adaptive Anti‐Synchronization Control for L orenz Systems under Channel Noise with Applications

This paper studies synchronization and adaptive anti‐synchronization control for L orenz systems with applications to secure communication, where the transmission channel is subject to noise disturbance and the parameters of the L orenz systems are allowed to be uncertain. Based on the methods of th...

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Published inAsian journal of control Vol. 15; no. 3; pp. 919 - 929
Main Authors Liu, Bin, Li, Jian‐Ping, Zheng, Weixing
Format Journal Article
LanguageEnglish
Published 01.05.2013
Online AccessGet full text
ISSN1561-8625
1934-6093
DOI10.1002/asjc.581

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Abstract This paper studies synchronization and adaptive anti‐synchronization control for L orenz systems with applications to secure communication, where the transmission channel is subject to noise disturbance and the parameters of the L orenz systems are allowed to be uncertain. Based on the methods of the L yapunov function, input‐to‐state stability theory, nonlinear parametric variation, and the B arbalat L emma, estimates for errors of synchronization and adaptive anti‐synchronization are derived. These estimates help to design the feedback control and adaptive control laws with relatively small synchronization error bounds. Moreover, the information signal error in secure communication is also derived, which is used to design a secure communication scheme with a lower disturbance from channel noise and with higher security. Simulations are given to demonstrate the results.
AbstractList This paper studies synchronization and adaptive anti‐synchronization control for L orenz systems with applications to secure communication, where the transmission channel is subject to noise disturbance and the parameters of the L orenz systems are allowed to be uncertain. Based on the methods of the L yapunov function, input‐to‐state stability theory, nonlinear parametric variation, and the B arbalat L emma, estimates for errors of synchronization and adaptive anti‐synchronization are derived. These estimates help to design the feedback control and adaptive control laws with relatively small synchronization error bounds. Moreover, the information signal error in secure communication is also derived, which is used to design a secure communication scheme with a lower disturbance from channel noise and with higher security. Simulations are given to demonstrate the results.
Author Liu, Bin
Li, Jian‐Ping
Zheng, Weixing
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CitedBy_id crossref_primary_10_1155_2020_6548142
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