| 非线性控制系统单支方法的IS稳定性 |
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| 引用本文： | 余越昕.非线性控制系统单支方法的IS稳定性[J].系统仿真学报,2008,20(1):19-20,72. |
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| 作者姓名： | 余越昕 |
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| 作者单位： | 湘潭大学数学系,湖南,湘潭,411105 |
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| 基金项目： | 国家自然科学基金资助项目(10271100,10571147)，湖南省教育厅资助科研项目(07B072)。 |
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| 摘 要： | 控制系统在实际问题中有广泛应用,众多文献对系统本身及其数值方法的稳定性进行了深入研究。将单支方法用于求解非线性控制系统,获得了方法IS稳定的条件,可视为单支方法关于非线性常微分方程的稳定性分析在非线性控制系统的进一步推广。最后给出了一些常用的单支方法IS稳定的条件。
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| 关 键 词： | 非线性控制系统 单支方法 数值解 IS稳定性 |
| 文章编号： | 1004-731X（2008）01-0019-02 |
| 收稿时间： | 2006-10-23 |
| 修稿时间： | 2007-03-13 |
Input-to-state Stability of One-leg Methods for Nonlinear Control Systems |
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| YU Yue-xin.Input-to-state Stability of One-leg Methods for Nonlinear Control Systems[J].Journal of System Simulation,2008,20(1):19-20,72. |
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| Authors: | YU Yue-xin |
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| Abstract: | Control systems arise widely in practice. Stability of the systems and the numerical methods were investigated by many authors. One-leg method was adopted for solving nonlinear control systems. The conditions for the methods to be input-to-state stable were derived, which could be regard as extension of the stability analysis of one-leg methods for nonlinear ordinary differential equations. Some numerical methods that satisfied the conditions were given in the end. |
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| Keywords: | nonlinear control system one-leg methods numerical solution input-to-state stability |
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