期刊
IEEE TRANSACTIONS ON NEURAL NETWORKS
卷 21, 期 10, 页码 1656-1667出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNN.2010.2068560
关键词
Competitive neural networks; lag synchronization; mixed delay; nonlinear perturbations; time scale; vector-form noise
类别
资金
- National Natural Science Foundation of China [11072059, 10801056]
- Natural Science Foundation of Jiangsu Province of China [BK2009271]
- Scientific Research Fund of Yunnan Province [2008CD186]
This paper investigates the problem of adaptive lag synchronization for a kind of competitive neural network with discrete and distributed delays (mixed delays), as well as uncertain nonlinear external and stochastic perturbations (hybrid perturbations). A simple but robust adaptive controller is designed such that the response system can lag-synchronize with a drive system. Based on the Lyapunov stability theory and some suitable Lyapunov-Krasovskii functionals, several sufficient conditions ensuring the lag synchronization are developed. Our synchronization criteria are easily verified and do not need to solve any linear matrix inequality. Some existing results are improved and extended. Moreover, the designed adaptive controller has better anti-interference capacity and is more practical than the usual adaptive controller. Numerical simulations are exploited to show the effectiveness of the theoretical results.
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