Asymptotic Boundedness of Conformable Fractional Delay Differential Systems

Asymptotic Boundedness of Conformable Fractional Delay Differential Systems

This article focuses on the problem of asymptotic boundedness for non-autonomous conformable fractional delay differential systems. Firstly, by utilizing the definition of conformable fractional derivative and fractional comparison principle, we propose non-autonomous conformable fractional Halanay...

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Veröffentlicht in:IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2023-11, Vol.70 (11), p.1-1
Hauptverfasser: He, Danhua, Bao, Baizeng, Hu, Hongxiao, Xu, Liguang
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic boundedness
Asymptotic properties
Conformable fractional differential systems
Conformable fractional Halanay inequalities
Delay effects
Delays
Inequalities
Integrated circuit modeling
Statistics
Symmetric matrices
Time delay
Tuberculosis
Tumors
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Zusammenfassung:This article focuses on the problem of asymptotic boundedness for non-autonomous conformable fractional delay differential systems. Firstly, by utilizing the definition of conformable fractional derivative and fractional comparison principle, we propose non-autonomous conformable fractional Halanay inequalities. And then, based on the Halanay inequalities, sufficient conditions for the asymptotic boundedness are constructed for the systems. Finally, a numerical example shows the applicability of the proposed technique.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2023.3282232