A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation

Watcharin Chartbupapan, Ovidiu Bagdasar and Kanit Mukdasai
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Watcharin Chartbupapan: Department of Mathematics, Faculty of Science, Khon Kaen University, khon Kaen 40002, Thailand
Ovidiu Bagdasar: Department of Electronics, Computing and Mathematics, University of Derby, Derby DE22 1GB, UK
Kanit Mukdasai: Department of Mathematics, Faculty of Science, Khon Kaen University, khon Kaen 40002, Thailand

Mathematics, 2020, vol. 8, issue 1, 1-10

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.

Keywords: asymptotic stability; differential and riemann-liouville fractional differential neutral systems; linear matrix inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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