Stability and synchronization for discrete-time complex-valued neural networks with time-varying delays.
In this paper, the synchronization problem for a class of discrete-time complex-valued neural networks with time-varying delays is investigated. Compared with the previous work, the time delay and parameters are assumed to be time-varying. By separating the real part and imaginary part, the discrete-time model of complex-valued neural networks is derived. Moreover, by using the complex-valued Lyapunov-Krasovskii functional method and linear matrix inequality as tools, sufficient conditions of the synchronization stability are obtained. In numerical simulation, examples are presented to show the effectiveness of our method.
Faculty of Electronic Information & Electrical Engineering, Dalian University of Technology, Dalian, China.
Hao
H
Zhang
Faculty of Electronic Information & Electrical Engineering, Dalian University of Technology, Dalian, China.
Xing-yuan
XY
Wang
Faculty of Electronic Information & Electrical Engineering, Dalian University of Technology, Dalian, China.
Xiao-hui
XH
Lin
Institute of Electrical Engineering, Xi'an Jiaotong University, Xi'an, China.
Chong-xin
CX
Liu
D000465:Algorithms; D003198:Computer Simulation; D016571:Neural Networks, Computer; D013997:Time Factors