Global MittagLeffler Stability of Discrete-Time Fractional-Order Neural Networks

YOU Xingxing; LIANG Lunhai

doi:10.21656/1000-0887.400163

Volume 40 Issue 11

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YOU Xingxing, LIANG Lunhai. Global MittagLeffler Stability of Discrete-Time Fractional-Order Neural Networks[J]. Applied Mathematics and Mechanics, 2019, 40(11): 1224-1234. doi: 10.21656/1000-0887.400163

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Global MittagLeffler Stability of Discrete-Time Fractional-Order Neural Networks

doi: 10.21656/1000-0887.400163

School of Economics and Management, Chongqing Jiaotong University, Chongqing 400074, P.R.China

Received Date: 2019-05-07
Rev Recd Date: 2019-05-23
Publish Date: 2019-11-01

Abstract

Abstract

The Mittag-Leffler stability of a class of discrete-time fractional-order neural networks was studied. Based on the discrete fractional calculus theory and the neural network theory, a class of discrete-time fractional-order neural networks were proposed. By means of the inequality techniques and the discrete Laplace transform, and through construction of the appropriate Lyapunov function, the sufficient criteria for global Mittag-Leffler stability of discrete-time fractional-order neural networks were obtained. Finally, a numerical simulation example verifies the validity of the proposed theory.
- global Mittag-Leffler stability,
- fractional-order neural network,
- discrete time,
- Lyapunov function

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References

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