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Finite-time Stability of Nonlinear Fractional Order Systems with a Constant Delay |
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KeyWord:Finite-time stability Time delay Generalized Gronwall inequality |
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Abstract: |
In this paper, based on the generalized Gronwall inequality and the method of steps, an approach to the finite-time stability of nonlinear fractional order systems with a constant delay is proposed. A sufficient condition for finite-time stability of considered systems is presented. Compared with the finite-time stability criteria in the existing literature, our results are less conservative. Two examples are given to illustrate the effectiveness of the proposed theorem. |
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