| 一类非线性开关系统二次稳定性的充要条件 |
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| 引用本文： | 刘玉忠,赵军.一类非线性开关系统二次稳定性的充要条件[J].自动化学报,2002,28(4):596-600. |
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| 作者姓名： | 刘玉忠 赵军 |
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| 作者单位： | 1.沈阳师范大学,沈阳; |
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| 基金项目： | 国家自然科学基金 ( 79970 114 )，国家攀登计划，国家留学回国人员基金，教育部骨干教师基金资助 |
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| 摘 要： | 研究了一类非线性开关系统的二次稳定性问题.首先将系统的二次稳定性转化为等价
的带约束非线性规划问题,给出了系统二次稳定的充分必要条件;然后利用Fritz John条件,将
该充要条件转化为较易检验的以代数方程和不等式的解表示的代数条件,最后举例说明了该代
数条件的使用.
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| 关 键 词： | 非线性开关系统 二次稳定性 Fritz John条件 |
| 收稿时间： | 2000-3-30 |
| 修稿时间： | 2000年3月30日 |
A SUFFICIENT AND NECESSARY CONDITION FOR STABILITY OF A CLASS OF NONLINEAR SWITCHED SYSTEMS |
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| LIU Yu-Zhong,ZHAO Jun.A SUFFICIENT AND NECESSARY CONDITION FOR STABILITY OF A CLASS OF NONLINEAR SWITCHED SYSTEMS[J].Acta Automatica Sinica,2002,28(4):596-600. |
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| Authors: | LIU Yu-Zhong ZHAO Jun |
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| Affiliation: | 1.Shenyang Normal University,Shenyang;School of Information Science and Engineering,Northeastern University,Shenyang |
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| Abstract: | In this paper, the stability of a class of nonlinear switched systems is studied. First we transform the quadratic stability of systems into an equivalent nonlinear programming with constrains and then give a sufficient and necessary condition for quadratic stability. With Fritz John condition, we change the condition into an algebraic one in terms of the solutions of equations and inequality, which is easy to verify. Finally, an example is presented to demonstrate how the conditions can be applied. |
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| Keywords: | Nonlinear switched systems quadratic stability Fritz John condition |
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