Global Synchronization of Complex-Valued Neural Networks With Leakage Time Delays

YAN Huan; ZHAO Zhen-jiang; SONG Qian-kun

doi:10.21656/1000-0887.370168

Volume 37 Issue 8

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YAN Huan, ZHAO Zhen-jiang, SONG Qian-kun. Global Synchronization of Complex-Valued Neural Networks With Leakage Time Delays[J]. Applied Mathematics and Mechanics, 2016, 37(8): 832-841. doi: 10.21656/1000-0887.370168

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Global Synchronization of Complex-Valued Neural Networks With Leakage Time Delays

doi: 10.21656/1000-0887.370168

¹School of Information Science and Engineering, Chongqing Jiaotong University,Chongqing 400074, P.R.China;²Department of Mathematics, Huzhou Teachers University,Huzhou, Zhejiang 313000, P.R.China;³Department of Mathematics, Chongqing Jiaotong University,Chongqing 400074, P.R.China

Funds: The National Natural Science Foundation of China（61273021; 61473332）

Received Date: 2016-05-27
Publish Date: 2016-08-15

Abstract

Abstract

The global synchronization of complex-valued neural networks with leakage time delays was investigated. For the considered complex-valued neural networks, the activation functions need not be separated into real parts and imaginary parts. Through the construction of appropriate Lyapunov-Krasovskii functionals, with the drive-response synchronization method, the free-weighting matrix method and the matrix inequality technique, a delay-dependent criterion for checking the global synchronization of complex-valued neural networks with leakage time delays was established in the form of complex-valued linear matrix inequality (LMI), meanwhile the design method for the synchronization controllers was given. Finally, a simulation example shows the effectiveness of the present work.
- complex-valued neural network,
- leakage time delay,
- drive-response synchronization,
- complex-valued linear matrix inequality,
- global synchronization

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References(19)

References

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