A novel delay-dependent asymptotic stability conditions for differential and Riemann-Liouville fractional differential neutral systems with constant delays and nonlinear perturbation
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Abstract
The novel delay-dependent asymptotic stability of a differential and Riemann-Liouville fractional differential neutral system with constant delays and nonlinear perturbation is studied. We describe the new asymptotic stability criterion in the form of linear matrix inequalities (LMIs), using the application of zero equations, model transformation and other inequalities. Then we show the new delay-dependent asymptotic stability criterion of a differential and Riemann-Liouville fractional differential neutral system with constant delays. Furthermore, we not only present the improved delay-dependent asymptotic stability criterion of a differential and Riemann-Liouville fractional differential neutral system with single constant delay but also the new delay-dependent asymptotic stability criterion of a differential and Riemann-Liouville fractional differential neutral equation with constant delays. Numerical examples are exploited to represent the improvement and capability of results over another research as compared with the least upper bounds of delay and nonlinear perturbation.Citation
Chartbupapan, W., Bagdasar, O. and Mukdasai, K., (2020). 'A novel delay-dependent asymptotic stability conditions for differential and Riemann-Liouville fractional differential neutral systems with constant delays and nonlinear perturbation'. Mathematics, 8(1), pp. 1-10. DOI: 10.3390/math8010082Publisher
MDPI AGJournal
MathematicsDOI
10.3390/math8010082Additional Links
https://www.mdpi.com/2227-7390/8/1/82Type
ArticleLanguage
enEISSN
2227-7390ae974a485f413a2113503eed53cd6c53
10.3390/math8010082
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