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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
Author NameAffiliation
Feifei Du Department of Automation, Shanghai Jiao Tong University, Shanghai, Shanghai 200240, China 
Baoguo Jia School of Mathematics, Guangdong Province Key Laboratory of Computational Science, Sun Yat-Sen University, Guangzhou, Guangdong 510275, China 
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      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.