Sawoor, Ann Al and Sadkane, Miloud (2020) Asymptotic Analysis of Linear and Interval Linear Fractional-Order Neutral Delay Differential Systems Described by the Caputo-Fabrizio Derivative. Applied Mathematics, 11 (12). pp. 1229-1242. ISSN 2152-7385
![[thumbnail of am_2020120814474794.pdf]](http://publish7promo.com/style/images/fileicons/text.png)
am_2020120814474794.pdf - Published Version
Download (359kB)
Abstract
Asymptotic stability of linear and interval linear fractional-order neutral delay differential systems described by the Caputo-Fabrizio (CF) fractional derivatives is investigated. Using Laplace transform, a novel characteristic equation is derived. Stability criteria are established based on an algebraic approach and norm-based criteria are also presented. It is shown that asymptotic stability is ensured for linear fractional-order neutral delay differential systems provided that the underlying stability criterion holds for any delay parameter. In addition, sufficient conditions are derived to ensure the asymptotic stability of interval linear fractional order neutral delay differential systems. Examples are provided to illustrate the effectiveness and applicability of the theoretical results.
Item Type: | Article |
---|---|
Subjects: | Euro Archives > Mathematical Science |
Depositing User: | Managing Editor |
Date Deposited: | 30 Nov 2022 04:41 |
Last Modified: | 09 Jul 2024 06:43 |
URI: | http://publish7promo.com/id/eprint/679 |