New results on stability and stabilization of a class of nonlinear fractional-order systems |
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Authors: | Liping Chen Yigang He Yi Chai Ranchao Wu |
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Affiliation: | 1. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, 230009, China 2. School of Automation, Chongqing University, Chongqing, 400044, China 3. School of Mathematics, Anhui University, Hefei, 230039, China
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Abstract: | The asymptotic stability and stabilization problem of a class of fractional-order nonlinear systems with Caputo derivative are discussed in this paper. By using of Mittag–Leffler function, Laplace transform, and the generalized Gronwall inequality, a new sufficient condition ensuring local asymptotic stability and stabilization of a class of fractional-order nonlinear systems with fractional-order α:1<α<2 is proposed. Then a sufficient condition for the global asymptotic stability and stabilization of such system is presented firstly. Finally, two numerical examples are provided to show the validity and feasibility of the proposed method. |
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