Asymptotic Stability Analysis of Fractional Neural Networks With Discrete Delays and Distributed Delays

LIU Jian; ZHANG Zhixin; JIANG Wei

doi:10.21656/1000-0887.400286

Volume 41 Issue 6

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Article Navigation > Applied Mathematics and Mechanics > 2020 > 41(6): 646-657

LIU Jian, ZHANG Zhixin, JIANG Wei. Asymptotic Stability Analysis of Fractional Neural Networks With Discrete Delays and Distributed Delays[J]. Applied Mathematics and Mechanics, 2020, 41(6): 646-657. doi: 10.21656/1000-0887.400286

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Asymptotic Stability Analysis of Fractional Neural Networks With Discrete Delays and Distributed Delays

doi: 10.21656/1000-0887.400286

School of Mathematical Sciences, Anhui University, Hefei 230601, P.R.China

Funds: The National Natural Science Foundation of China(11371027;11471015;11601003)

Received Date: 2019-09-23
Rev Recd Date: 2019-10-26
Publish Date: 2020-06-01

Abstract

Abstract

The asymptotic stability of fractional-order neural networks with discrete delays and distributed delays in the sense of Caputo derivatives was studied. Through construction of the Lyapunov function and with the fractional Razumikhin theorem, sufficient conditions for asymptotic stability of fractional-order neural networks with discrete and distributed delays were given, and 4 examples were given to illustrate the validity of the proposed theorem conditions.
- fractional neural network,
- delay,
- asymptotic stability,
- fractional Razumikhin method,
- Lyapunov function

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References

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