{"title":"Modified Mikhailov stability criterion for non-commensurate fractional-order neutral differential systems with delays","authors":"Ha Duc Thai, Hoang The Tuan","doi":"10.1016/j.jfranklin.2024.107384","DOIUrl":null,"url":null,"abstract":"<div><div>This paper studies the asymptotic stability of non-commensurate fractional-order neutral differential systems with constant delays. To do this, we propose a modified Mikhailov stability criterion. Our work not only generalizes the existing results in the literature but also provides a rigorous mathematical basis for the frequency domain analysis method concerning fractional-order systems with delays. Specific examples and numerical illustrations are also provided to demonstrate the validity of the obtained result.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107384"},"PeriodicalIF":3.7000,"publicationDate":"2024-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of The Franklin Institute-engineering and Applied Mathematics","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0016003224008056","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
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Abstract
This paper studies the asymptotic stability of non-commensurate fractional-order neutral differential systems with constant delays. To do this, we propose a modified Mikhailov stability criterion. Our work not only generalizes the existing results in the literature but also provides a rigorous mathematical basis for the frequency domain analysis method concerning fractional-order systems with delays. Specific examples and numerical illustrations are also provided to demonstrate the validity of the obtained result.
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The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.
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