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Stability and Synchronization for Discrete-Time Complex-Valued Neural Networks with Time-Varying Delays.

Authors :
Zhang, Hao
Wang, Xing-yuan
Lin, Xiao-hui
Liu, Chong-xin
Source :
PLoS ONE; Apr2014, Vol. 9 Issue 4, p1-6, 6p
Publication Year :
2014

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
19326203
Volume :
9
Issue :
4
Database :
Complementary Index
Journal :
PLoS ONE
Publication Type :
Academic Journal
Accession number :
95818459
Full Text :
https://doi.org/10.1371/journal.pone.0093838