Dissipative and dissipativity analysis for quaternion-valued fractional-order discrete-time memristive neural networks

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.3934/mcrf.2023039

Hongzhi Wei, Ruoxia Li, Ning Li

引用次数: 0

Abstract

This paper illustrates the dissipative and dissipativity analysis for the fractional-order memristive system with quaternion terms. The purpose is to derive some conditions that are capable of guaranteeing the stability and dissipativity of the system. By resorting to a novel functional, sufficient conditions for the solvability of the above problem are established in the form of algebraic inequality and linear matrix inequality (LMI). In addition, based on the linear fractional difference system, the dissipativity conclusion is obtained, in which, the globally attractive sets is figured out as well. Finally, three examples are given to show the application of our proposed methods.

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四元数值分数阶离散记忆神经网络的耗散和耗散性分析

本文给出了具有四元数项的分数阶记忆系统的耗散和耗散分析。目的是推导出能够保证系统稳定性和耗散性的一些条件。利用一种新的泛函形式，以代数不等式和线性矩阵不等式(LMI)的形式建立了上述问题的可解性的充分条件。此外，在线性分数阶差分系统的基础上，得到了系统的耗散性结论，并给出了系统的全局吸引集。最后，给出了三个实例来说明本文方法的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.