Asymptotic Stability of Caputo Type Fractional Neutral Dynamical Systems with Multiple Discrete Delays
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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/138124 |
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| Summary: | 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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| ISSN: | 1085-3375 1687-0409 |