Global Exponential Stability of Complex-Valued Neural Networks With Proportional Delays

ZHANG Lei; SONG Qiankun

doi:10.21656/1000-0887.380257

Volume 39 Issue 5

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ZHANG Lei, SONG Qiankun. Global Exponential Stability of Complex-Valued Neural Networks With Proportional Delays[J]. Applied Mathematics and Mechanics, 2018, 39(5): 584-591. doi: 10.21656/1000-0887.380257

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Global Exponential Stability of Complex-Valued Neural Networks With Proportional Delays

doi: 10.21656/1000-0887.380257

ZHANG Lei¹,
SONG Qiankun²

¹Department of Basic Teaching, Sichuan Engineering Technical College, Deyang, Sichuan 618000, P.R.China;²Department of Mathematics,Chongqing Jiaotong University, Chongqing 400074, P.R.China

Funds: The National Natural Science Foundation of China(61773004)

Received Date: 2017-09-14
Rev Recd Date: 2017-09-14
Publish Date: 2018-05-15

Abstract

Abstract

The global exponential stability of complex-valued neural networks with proportional delays was investigated. By means of the vector Lyapunov function theory, the homomorphic mapping theorem, the M-matrix theory and the inequality technique, a delay-independent sufficient condition was obtained to ensure the existence, uniqueness and global exponential stability of the considered neural networks.
- complex-valued neural network,
- proportional delay,
- global exponential stability,
- M-matrix

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References

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