Exponential Stability of Complex-Valued Neural Networks With Time-Varying Delays and Reaction-Diffusion Terms

SHI Jizhong; XU Xiaohui; JIANG Yonghua; YANG Jibin>; SUN Shulei

doi:10.21656/1000-0887.410245

Volume 42 Issue 5

May 2021

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SHI Jizhong, XU Xiaohui, JIANG Yonghua, YANG Jibin>, SUN Shulei. Exponential Stability of Complex-Valued Neural Networks With Time-Varying Delays and Reaction-Diffusion Terms[J]. Applied Mathematics and Mechanics, 2021, 42(5): 500-509. doi: 10.21656/1000-0887.410245

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Exponential Stability of Complex-Valued Neural Networks With Time-Varying Delays and Reaction-Diffusion Terms

doi: 10.21656/1000-0887.410245

¹College of Engineering, Zhejiang Normal University, Jinhua, Zhejiang 321004, P.R.China
²School of Automobile and Transportation, Xihua University, Chengdu 610039, P.R.China

Received Date: 2020-08-25
Rev Recd Date: 2020-11-10
Publish Date: 2021-05-01

Abstract

Abstract

The exponential stability of complex-valued neural networks with time-varying delays and reaction-diffusion terms was studied. Firstly, the addressed systems were separated into their real parts with the complex-valued activation functions assumed to be divided into the real parts and imaginary parts. Secondly, some sufficient conditions for ensuring the exponential stability of the equilibrium states of the systems were established based on the vector Lyapunov function method and the M-matrix theory. The obtained criteria have no free variables and reduced conservatism compared with the existing results. A numerical example proves the correctness of the obtained results.
- complex-valued neural network,
- time-varying delay,
- reaction-diffusion term,
- vector Lyapunov function method,
- exponential stability

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References(19)

References

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