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Frontiers of Information Technology & Electronic Engineering
ISSN 2095-9184 (print), ISSN 2095-9230 (online)
2020 Vol.21 No.2 P.234-246
Mittag-Leffler stability analysis of multiple equilibrium points in impulsive fractional-order quaternion-valued neural networks
Abstract: In this study, we investigate the problem of multiple Mittag-Leffler stability analysis for fractional-order quaternion-valued neural networks (QVNNs) with impulses. Using the geometrical properties of activation functions and the Lipschitz condition, the existence of the equilibrium points is analyzed. In addition, the global Mittag-Leffler stability of multiple equilibrium points for the impulsive fractional-order QVNNs is investigated by employing the Lyapunov direct method. Finally, simulation is performed to illustrate the effectiveness and validity of the main results obtained.
Key words: Mittag-Leffler stability, Fractional-order, Quaternion-valued neural networks, Impulse
1巴拉蒂亚大学数学系，印度哥印拜陀市，641046
2东南大学数学学院，中国南京市，210096
3东南大学自动化学院，中国南京市，210096
摘要：研究分数阶四元数值神经网络（quaternion-valued neural networks, QVNNs）的多重Mittag-Leffler稳定性问题。利用激活函数的几何性质和李普希茨条件，分析系统平衡点的存在性。此外，利用李雅普诺夫直接法研究分数阶脉冲四元素神经网络的多平衡点的全局Mittag-Leffler稳定性。最后，通过仿真验证主要结果的有效性和可行性。
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DOI:
10.1631/FITEE.1900409
CLC number:
O175
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On-line Access:
2020-03-04
Received:
2019-08-14
Revision Accepted:
2019-10-19
Crosschecked:
2019-12-04