Asymptotic Stability of Caputo Type Fractional Neutral Dynamical Systems with Multiple Discrete Delays

Hai Zhang, Daiyong Wu and Jinde Cao

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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.

Date: 2014
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https://doi.org/10.1155/2014/138124

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:138124

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