| 非线性微分-代数系统稳定性的几个判据 |
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| 引用本文： | 陈潮填,刘永清.非线性微分-代数系统稳定性的几个判据[J].系统工程理论与实践,1999,19(7):77-82. |
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| 作者姓名： | 陈潮填 刘永清 |
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| 作者单位： | (1)广东职业技术师范学院计算机系;(2)华南理工大学自动化系 |
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| 基金项目： | 国家自然科学基金,广东省自然科学基金 |
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| 摘 要： | 研究非线性微分－代数系统的稳定性问题，给出利用非线性函数的偏导数矩阵判别非线性微分－代数系统平衡态稳定和不稳定的几个判据，所得结果形式简洁，易于应用．最后利用例子说明所得判据的有效性
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| 关 键 词： | 微分－代数系统 非线性系统 稳定性 李雅普诺夫函数 |
| 修稿时间： | 1997-02-20 |
Some Stability Criteria of Nonlinear Differential-Algebraic Systems |
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| CHEN Chaotian,LIU Yongqing.Some Stability Criteria of Nonlinear Differential-Algebraic Systems[J].Systems Engineering —Theory & Practice,1999,19(7):77-82. |
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| Authors: | CHEN Chaotian LIU Yongqing |
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| Institution: | (1) Dept. of Computer Science; Guangdong Polytechnical Normal Univ.;(2)Dept. of Automation,South China Univ. of Tech. |
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| Abstract: | In this paper, the stability problem of nonlinear differential algebraic systems is investigated. Some stability and unstability criteria of nonlinear differential algebraic systems are given by using the partial derivative matrices of nonlinear functions. The calculating procedure presented is straight forward and the criterions can be easily applied. At last, an example is given to illustrate the effectiveness of the algorithm. |
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| Keywords: | differential algebraic systems nonlinear systems stability Lyapunov function |
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