Finite-Time Mittag-Leffler Stability of Fractional-Order Quaternion-Valued Memristive Neural Networks with Impulses

被引：0

作者：

Pratap, A. ^{[1
]}

Raja, R. ^{[1
]}

Alzabut, J. ^{[1
]}

Dianavinnarasi, J. ^{[1
]}

Cao, J. ^{[1
]}

Rajchakit, G. ^{[1
]}

机构：

[1] CHEMICAL ENGINEERING JOURNAL

来源：

NEURAL PROCESSING LETTERS | 1600年 / 46卷 / 08期

关键词：

Quaternion-valued; Memristor; Fractional-order neural networks; Finite-time stability; GLOBAL ASYMPTOTICAL PERIODICITY; O(T(-ALPHA)) STABILITY; LEAKAGE DELAY; SYNCHRONIZATION; DISCRETE;

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学科分类号：

摘要：

The finite-time Mittag-Leffler stability for fractional-order quaternion-valued memristive neural networks (FQMNNs) with impulsive effect is studied here. A new mathematical expression of the quaternion-value memductance (memristance) is proposed according to the feature of the quaternion-valued memristive and a new class of FQMNNs is designed. In quaternion field, by using the framework of Filippov solutions as well as differential inclusion theoretical analysis, suitable Lyapunov-functional and some fractional inequality techniques, the existence of unique equilibrium point and Mittag-Leffler stability in finite time analysis for considered impulsive FQMNNs have been established with the order 02 capture properties

引用

页码：1385-8947 / 1873-3212

页数：385