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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 6, Pages 1421–1429
DOI: https://doi.org/10.33048/smzh.2020.61.614 (Mi smj6060) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A stability criterion for the system of high-order neutral delay differential equations

G. D. Hu

Department of Mathematics, Shanghai University, Shanghai, 200444, China
Full-text PDF (370 kB) Citations (3)
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DOI: https://doi.org/10.33048/smzh.2020.61.614
Abstract: We study the delay–dependent stability of linear high-order delay differential systems of neutral type. We firstly derive a bound of the unstable eigenvalues of the neutral systems. The bound of the unstable eigenvalues involves only the norms of the matrices of lower size. Then, using the argument principle, we present some stability criterion that is a necessary and sufficient condition for the delay–dependent stability of the neutral systems. Furthermore, we provide an efficient numerical algorithm for checking the stability of the neutral systems. Some numerical examples are given to illustrate the main results which extend those in the literature.
Keywords: delay–dependent stability, high-order neutral delay systems, argument principle.
Funding agency Grant number
National Natural Science Foundation of China 11871330
The author was supported by the National Natural Science Foundation of China (11871330).
Received: 30.12.2019
Revised: 30.12.2019
Accepted: 19.02.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 6, Pages 1140–1146
DOI: https://doi.org/10.1134/S0037446620060142
Bibliographic databases:
Document Type: Article
UDC: 517.925
MSC: 35R30
Language: Russian
Citation: G. D. Hu, “A stability criterion for the system of high-order neutral delay differential equations”, Sibirsk. Mat. Zh., 61:6 (2020), 1421–1429; Siberian Math. J., 61:6 (2020), 1140–1146
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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