Generalized LMI-Based Approach to the Global Asymptotic Stability of Cellular Neural Networks With Delay

LIU De-you; ZHANG Jian-hua; GUAN Xin-ping; XIAO Xiao-dan

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(6): 735-740

LIU De-you, ZHANG Jian-hua, GUAN Xin-ping, XIAO Xiao-dan. Generalized LMI-Based Approach to the Global Asymptotic Stability of Cellular Neural Networks With Delay[J]. Applied Mathematics and Mechanics, 2008, 29(6): 735-740.

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Generalized LMI-Based Approach to the Global Asymptotic Stability of Cellular Neural Networks With Delay

School of Science, Yanshan University, Qinhuangdao, Hebei 066004, P. R. China

Received Date: 2007-08-23
Rev Recd Date: 2008-04-21
Publish Date: 2008-06-15

Abstract

Abstract

The global asymptotic stability problem of cellular neural networks with delay is investigated. A new stability condition was presented based on Liapunov-Krasovskii method, which is dependent on the size of delay. The result is given in the form of LMI(linear matric inequality), and the admitted upper bound of the delay can be obtained easily. The time delay dependent and independent results can be obtained, which include some results in the former literature. Finally, a numerical example was given to illustrate the effectiveness of the main results.
- delayed cellular neural networks (DCNNs),
- LMI(linear matric inequality),
- global stability

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References(11)

References

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