Next Article in Journal
The Bourguignon Laplacian and Harmonic Symmetric Bilinear Forms
Previous Article in Journal
Fractional Dynamics and Pseudo-Phase Space of Country Economic Processes
Previous Article in Special Issue
A Characterization of Quasi-Metric Completeness in Terms of αψ-Contractive Mappings Having Fixed Points
Open AccessArticle

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

1
Department of Mathematics, Faculty of Science, Khon Kaen University, khon Kaen 40002, Thailand
2
Department of Electronics, Computing and Mathematics, University of Derby, Derby DE22 1GB, UK
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(1), 82; https://doi.org/10.3390/math8010082
Received: 28 November 2019 / Revised: 17 December 2019 / Accepted: 23 December 2019 / Published: 3 January 2020
(This article belongs to the Special Issue Recent Advances on Quasi-Metric Spaces)
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. View Full-Text
Keywords: asymptotic stability; differential and riemann-liouville fractional differential neutral systems; linear matrix inequality asymptotic stability; differential and riemann-liouville fractional differential neutral systems; linear matrix inequality
MDPI and ACS Style

Chartbupapan, W.; Bagdasar, O.; Mukdasai, K. A Novel Delay-Dependent Asymptotic Stability Conditions for Differential and Riemann-Liouville Fractional Differential Neutral Systems with Constant Delays and Nonlinear Perturbation. Mathematics 2020, 8, 82.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop