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
Citation: 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

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

doi: 10.21656/1000-0887.400163
  • Received Date: 2019-05-07
  • Rev Recd Date: 2019-05-23
  • Publish Date: 2019-11-01
  • 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.
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