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Asymptotic Analysis of Linear and Interval Linear Fractional-Order Neutral Delay Differential Systems Described by the Caputo-Fabrizio Derivative
Laboratoire de Mathématiques de Bretagne Atlantique, CNRS-UMR 6205, Université de Brest, Brest Cedex 3, France
Laboratoire de Mathématiques de Bretagne Atlantique, CNRS-UMR 6205, Université de Brest, Brest Cedex 3, France
- 1 Laboratoire de Mathématiques de Bretagne Atlantique, CNRS-UMR 6205, Université de Brest, Brest Cedex 3, France
- 2 Laboratoire de Mathématiques de Bretagne Atlantique, CNRS-UMR 6205, Université de Brest, Brest Cedex 3, France
Applied Mathematics·Volume 11 (2020)·Pages 1229–1242·Published 8 December 2020·DOI10.4236/am.2020.1112084
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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.
KeywordsFractional CalculusCaputo-Fabrizio Fractional DerivativeNeutral Delay Differential SystemsAsymptotic Stability
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