TY - GEN
T1 - H∞ synchronization for a class of discrete-time nonlinear systems with interval time-varying delays
AU - Chen, Haiyang
AU - Liu, Meiqin
AU - Fan, Zhen
AU - Zhang, Senlin
N1 - Publisher Copyright:
© 2014 TCCT, CAA.
PY - 2014/9/11
Y1 - 2014/9/11
N2 - This paper investigates the H∞ synchronization problem for two discrete time-varying-delayed nonlinear systems such as Hopfield neural networks, complex systems, recurrent multilayer perceptrons (RMLPs), Chua's circuits etc., which can be transformed into the unified model consisting of a linear dynamic system and a static nonlinear operator. Throughout the paper, first a response system is established according to the drive-response concept. Second, the H∞ performance for the synchronization error dynamical system between the drive model and the response model is analyzed based on the Lyapunov stability theory and linear matrix inequality (LMI) technique. Then, based on the analysis, a state feedback controller is designed to guarantee the H∞ performance for the synchronization error dynamical system. During the design procedure, novel Lyapunov functions are established to increase the upper bounds of the time-varying delays with their lower bounds fixed such that the conservatism of conditions for the feedback controller synthesis is reduced. Finally an illustrative example is provided to verify the effectiveness of the proposed control laws.
AB - This paper investigates the H∞ synchronization problem for two discrete time-varying-delayed nonlinear systems such as Hopfield neural networks, complex systems, recurrent multilayer perceptrons (RMLPs), Chua's circuits etc., which can be transformed into the unified model consisting of a linear dynamic system and a static nonlinear operator. Throughout the paper, first a response system is established according to the drive-response concept. Second, the H∞ performance for the synchronization error dynamical system between the drive model and the response model is analyzed based on the Lyapunov stability theory and linear matrix inequality (LMI) technique. Then, based on the analysis, a state feedback controller is designed to guarantee the H∞ performance for the synchronization error dynamical system. During the design procedure, novel Lyapunov functions are established to increase the upper bounds of the time-varying delays with their lower bounds fixed such that the conservatism of conditions for the feedback controller synthesis is reduced. Finally an illustrative example is provided to verify the effectiveness of the proposed control laws.
KW - H synchronization
KW - drive-response concept
KW - interval time-varying delays
KW - unified model
UR - https://www.scopus.com/pages/publications/84907919545
U2 - 10.1109/ChiCC.2014.6895648
DO - 10.1109/ChiCC.2014.6895648
M3 - 会议稿件
AN - SCOPUS:84907919545
T3 - Proceedings of the 33rd Chinese Control Conference, CCC 2014
SP - 4234
EP - 4239
BT - Proceedings of the 33rd Chinese Control Conference, CCC 2014
A2 - Xu, Shengyuan
A2 - Zhao, Qianchuan
PB - IEEE Computer Society
T2 - Proceedings of the 33rd Chinese Control Conference, CCC 2014
Y2 - 28 July 2014 through 30 July 2014
ER -