Finite‐time stability of fractional‐order stochastic singular systems with time delay and white noise |
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| Authors: | Kalidass Mathiyalagan Krishnan Balachandran |
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| Affiliation: | Department of Mathematics, Bharathiyar University, Coimbatore, India |
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| Abstract: | In this article, the finite‐time stochastic stability of fractional‐order singular systems with time delay and white noise is investigated. First the existence and uniqueness of solution for the considered system is derived using the basic fractional calculus theory. Then based on the Gronwall's approach and stochastic analysis technique, the sufficient condition for the finite‐time stability criterion is developed. Finally, a numerical example is presented to verify the obtained theory. © 2016 Wiley Periodicals, Inc. Complexity 21: 370–379, 2016 |
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| Keywords: | finite‐time stability singular system stochastic model fractional‐order system white noise |
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