TY - JOUR
T1 - Sampled-Data Synchronization of Chaotic Lur’e Systems with Stochastic Sampling
AU - Liu, Yajuan
AU - Lee, S. M.
N1 - Publisher Copyright:
© 2015, Springer Science+Business Media New York.
PY - 2015/12/1
Y1 - 2015/12/1
N2 - In this paper, we study the problem of master–slave synchronization for chaotic Lur’e systems with sampled-data control. The sampling intervals are assumed to satisfy a Bernoulli distributed white noise sequence with fixed and given occurrence probability. By applying an input-delay approach, the probabilistic sampling system is transformed into a continuous time-delay system with stochastic parameters in the system matrices. Based on Lyapunov functional approach, a sufficient condition of exponentially mean-square synchronization is obtained by analyzing the corresponding synchronization error systems. The controller gains are designed by solving a set of linear matrix inequalities. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed method.
AB - In this paper, we study the problem of master–slave synchronization for chaotic Lur’e systems with sampled-data control. The sampling intervals are assumed to satisfy a Bernoulli distributed white noise sequence with fixed and given occurrence probability. By applying an input-delay approach, the probabilistic sampling system is transformed into a continuous time-delay system with stochastic parameters in the system matrices. Based on Lyapunov functional approach, a sufficient condition of exponentially mean-square synchronization is obtained by analyzing the corresponding synchronization error systems. The controller gains are designed by solving a set of linear matrix inequalities. Finally, two numerical examples are given to demonstrate the effectiveness of the proposed method.
KW - Exponential synchronization
KW - Lur’e chaotic systems
KW - Sampled-data control
KW - Stochastic sampling
UR - http://www.scopus.com/inward/record.url?scp=84943782970&partnerID=8YFLogxK
U2 - 10.1007/s00034-015-0032-6
DO - 10.1007/s00034-015-0032-6
M3 - Article
AN - SCOPUS:84943782970
SN - 0278-081X
VL - 34
SP - 3725
EP - 3739
JO - Circuits, Systems, and Signal Processing
JF - Circuits, Systems, and Signal Processing
IS - 12
ER -