Global MittagLeffler Stability of Discrete-Time Fractional-Order Neural Networks
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摘要: 研究了一类离散分数阶神经网络的Mittag-Leffler稳定性问题.首先, 基于离散分数阶微积分理论、神经网络理论,提出了一类离散分数阶神经网络.其次,利用不等式技巧和离散Laplace变换,通过构造合适的Lyapunov函数,得到了离散分数阶神经网络全局Mittag-Leffler稳定的充分性判据.最后,通过一个数值仿真算例验证了所提出理论的有效性.
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关键词:
- 全局Mittag-Leffler稳定性 /
- 分数阶神经网络 /
- 离散时间 /
- Lyapunov函数
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. -
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