Riemann-Liouville分数阶非线性系统的稳定性分析 |
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引用本文: | 秦志权,卢艳芬.Riemann-Liouville分数阶非线性系统的稳定性分析[J].合肥联合大学学报,2014(1):15-17,53. |
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作者姓名: | 秦志权 卢艳芬 |
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作者单位: | 安徽大学数学科学学院,合肥230601 |
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基金项目: | 安徽省自然科学基金项目(11040606M12)资助. |
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摘 要: | 通过讨论Riemann-Liouville分数阶非线性系统的稳定性,特别地分析了扰动系统的稳定性。基于分数阶线性微分方程的稳定性理论,利用拉普拉斯变换、Mittag-Leffler 函数和Gronwall不等式,给出了一些稳定性定理。
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关 键 词: | 分数阶 非线性 Mittag-Leffler 函数 Gronwall不等式 稳定性 |
Analysis on The Stability of Fractional-order Nonlinear Systems with Riemann-Liouville Derivate |
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Authors: | QIN Zhi-quan LU Yan-fen |
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Institution: | (School of Mathematical Sciences, Anhui University, Hefei 230601, China) |
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Abstract: | In this paper, we discuss the stability of fractional-order nonlinear systems with Riemann-Liouville derivate, in particular, we analysis the perturbed systems. On the stability theory fractional-order linear differential equation, use Laplace transform, Mittag-leffler function and the Gronwall inequality, we propose some theorems. |
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Keywords: | Riemann-Liouville fractional-order nonlinear systems Riemann-Liouville Mittag-leffler function Gronwall inequality stability |
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