| 序列分数阶系统的渐近稳定性 |
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| 引用本文： | 曾庆山,曹广益,朱新坚.序列分数阶系统的渐近稳定性[J].上海交通大学学报,2005,39(3):346-348,352. |
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| 作者姓名： | 曾庆山 曹广益 朱新坚 |
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| 作者单位： | 上海交通大学,自动化系,上海,200030;郑州大学,电气工程学院,郑州,450002;上海交通大学,自动化系,上海,200030 |
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| 基金项目： | 上海市科技发展基金资助项目(011607033) |
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| 摘 要： | 根据Lyapunov稳定性理论，研究了由序列分数阶线性定常微分方程描述的控制系统的渐近稳定性，给出了分数阶系统稳定性定义，并利用两参数的Mittag-Leffler函数相关定理直接推导出稳定性结论．仿真实例和结果证实了相应的稳定性结论．
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| 关 键 词： | 控制系统 分数阶微积分 分数阶系统 序列微分 渐近稳定性 |
| 文章编号： | 1006-2467(2005)03-0346-03 |
The Asymptotic Stability on Sequential Fractional-Order Systems |
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| ZENG Qing-shan,CAO Guang-yi,ZHU Xin-jian.The Asymptotic Stability on Sequential Fractional-Order Systems[J].Journal of Shanghai Jiaotong University,2005,39(3):346-348,352. |
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| Authors: | ZENG Qing-shan CAO Guang-yi ZHU Xin-jian |
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| Institution: | ZENG Qing-shan~ |
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| Abstract: | In terms of Lyapunov's stability theory the asymptotic stability of a class of control systems described by the linear fractional differential equations with sequential derivatives was studied. The stability conclusion is derived by using the theorems of the Mittag-Leffler function in two parameters. The simulation examples and results prove the stability conclusion. |
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| Keywords: | control systems fractional-order calculus fractional-order system sequential derivatives asymptotic stability |
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