| 引用本文: | 张明,胡德文,谢红卫.离散系统的绝对稳定性.[J].国防科技大学学报,2004,26(4):99-102.[点击复制] |
| ZHANG Ming,HU Dewen,XIE Hongwei.The Absolute Stability of the Discrete System[J].Journal of National University of Defense Technology,2004,26(4):99-102[点击复制] |
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| 离散系统的绝对稳定性 |
| 张明, 胡德文, 谢红卫 |
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(国防科技大学 机电工程与自动化学院，湖南 长沙 410073)
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| 摘要: |
| 给出了离散系统绝对稳定性问题的充分条件：约束条件下的矩阵不等式的正定解；基于这一思路可以构造控制器来镇定一类非线性系统；最后还给出了设计实例以说明结果的有效性。 |
| 关键词: 离散系统 绝对稳定性 矩阵不等式 Lyapunov函数 |
| DOI： |
| 投稿日期：2004-02-18 |
| 基金项目:国家杰出青年科学基金资助项目(60225015)；湖南省教育改革基金资助项目 |
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| The Absolute Stability of the Discrete System |
| ZHANG Ming, HU Dewen, XIE Hongwei |
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(College of Mechatronics Engineering and Automation, National Univ.of Defense Technology, Changsha 410073,China)
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| Abstract: |
| The ideal condition of the absolute stability for the discrete system is given, which depends on whether there is positive solution for constrained matrix inequality. Based on constrained matrix inequality, the controller can be constructed to stabilize one kind of nonlinear system. A design is given to illustrate the main conclusion. |
| Keywords: discrete system absolute stability matrix inequality Lyapunov function |
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