TY - JOUR
T1 - An LMI criterion for linear-state-feedback based chaos synchronization of a class of chaotic systems
AU - Jiang, Guo-Ping
AU - Zheng, Wei Xing
PY - 2005/10
Y1 - 2005/10
N2 - Based on the Lyapunov stability theory in control theory, a new sufficient condition is proposed in this paper for chaos synchronization by the linear-state-feedback approach for a class of chaotic systems. By using Schur theorem and some matrix techniques, this criterion is then transformed into the Linear Matrix Inequality (LMI) form, which can be easily verified and resolved using the MATLAB LMI Toolbox. It is shown that under the proposed criterion chaos synchronization can be achieved at an exponential convergence rate. The effectiveness of the criterion proposed herein is verified and demonstrated by the chaotic Murali-Lakshmanan-Chua system.
AB - Based on the Lyapunov stability theory in control theory, a new sufficient condition is proposed in this paper for chaos synchronization by the linear-state-feedback approach for a class of chaotic systems. By using Schur theorem and some matrix techniques, this criterion is then transformed into the Linear Matrix Inequality (LMI) form, which can be easily verified and resolved using the MATLAB LMI Toolbox. It is shown that under the proposed criterion chaos synchronization can be achieved at an exponential convergence rate. The effectiveness of the criterion proposed herein is verified and demonstrated by the chaotic Murali-Lakshmanan-Chua system.
KW - Lyapunov stability
KW - chaos synchronization
KW - linear systems
KW - matrices
UR - http://handle.uws.edu.au:8081/1959.7/33977
UR - http://sciencedirect.com/science/article/B6TJ4-4FJGW46-H/1/728ab144e949501c48473eb20e28a136
UR - http://www.scopus.com/inward/record.url?scp=18544367821&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2005.01.012
DO - 10.1016/j.chaos.2005.01.012
M3 - Article
SN - 0960-0779
VL - 26
SP - 437
EP - 443
JO - Chaos, Solitons & Fractals
JF - Chaos, Solitons & Fractals
IS - 2
ER -