TY - JOUR
T1 - Global uniform synchronization with estimated error under transmission channel noise
AU - Liu, Bin
AU - Hill, David J.
AU - Yao, Jian
PY - 2009/12
Y1 - 2009/12
N2 - This paper investigates the problem of estimating synchronization errors and its application to global uniform synchronization with an estimated error bound for the master-slave chaos synchronization scheme via linear control input, which is possibly subject to disturbances by unknown but bounded channel noise and time-delay. Based on Lyapunov function, Razumikhin technique, nonlinear parametric variation, and input-to-state stability (ISS) theory, estimation formulas of synchronization errors with or without time-delays but with noise in transmission channel (TC) are derived. By using the error estimation formula, the maximal upper bound for time-delays is also obtained. These formulas can be used to design a control gain matrix which forces the synchronization error to the minimal value. Meanwhile, theoretical discussion is made by comparing Lyapunov-Krasovskii function method with respect to time-delays in TC. After the theoretical analysis, some representative examples and their numerical simulations are given for illustration.
AB - This paper investigates the problem of estimating synchronization errors and its application to global uniform synchronization with an estimated error bound for the master-slave chaos synchronization scheme via linear control input, which is possibly subject to disturbances by unknown but bounded channel noise and time-delay. Based on Lyapunov function, Razumikhin technique, nonlinear parametric variation, and input-to-state stability (ISS) theory, estimation formulas of synchronization errors with or without time-delays but with noise in transmission channel (TC) are derived. By using the error estimation formula, the maximal upper bound for time-delays is also obtained. These formulas can be used to design a control gain matrix which forces the synchronization error to the minimal value. Meanwhile, theoretical discussion is made by comparing Lyapunov-Krasovskii function method with respect to time-delays in TC. After the theoretical analysis, some representative examples and their numerical simulations are given for illustration.
KW - Chaotic synchronization
KW - Error bound
KW - Global exponential synchronization
KW - Global uniform synchronization
KW - ISS
KW - Razumikhin technique
KW - Synchronization error
KW - Time-delay
UR - http://www.scopus.com/inward/record.url?scp=79551556936&partnerID=8YFLogxK
U2 - 10.1109/TCSI.2009.2016181
DO - 10.1109/TCSI.2009.2016181
M3 - Article
SN - 1549-8328
VL - 56
SP - 2689
EP - 2702
JO - IEEE Transactions on Circuits and Systems I: Regular Papers
JF - IEEE Transactions on Circuits and Systems I: Regular Papers
IS - 12
ER -