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2014 Asymptotic Stability of Caputo Type Fractional Neutral Dynamical Systems with Multiple Discrete Delays
Hai Zhang, Daiyong Wu, Jinde Cao
Abstr. Appl. Anal. 2014: 1-10 (2014). DOI: 10.1155/2014/138124

Abstract

We discuss the delay-independent asymptotic stability of Caputo type fractional-order neutral differential systems with multiple discrete delays. Based on the algebraic approach and matrix theory, the sufficient conditions are derived to ensure the asymptotic stability for all time-delay parameters. By applying the stability criteria, one can avoid solving the roots of transcendental equations. The results obtained are computationally flexible and convenient. Moreover, an example is provided to illustrate the effectiveness and applicability of the proposed theoretical results.

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Hai Zhang. Daiyong Wu. Jinde Cao. "Asymptotic Stability of Caputo Type Fractional Neutral Dynamical Systems with Multiple Discrete Delays." Abstr. Appl. Anal. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/138124

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021787
MathSciNet: MR3246311
Digital Object Identifier: 10.1155/2014/138124

Rights: Copyright © 2014 Hindawi

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