| 一类微分代数系统的受控不变分布及其不变性 |
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| 引用本文： | 王文涛,李媛.一类微分代数系统的受控不变分布及其不变性[J].系统科学与数学,2009,29(7):925-936. |
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| 作者姓名： | 王文涛 李媛 |
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| 作者单位： | 沈阳工业大学理学院,沈阳,110178 |
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| 基金项目： | 辽宁省教育基金 (20060621)资助课题 |
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| 摘 要： | 针对一类非线性微分代数系统,利用M导数方法,给出了受控不变分布的概念,并讨论了此类微分代数系统受控不变分布的一些性质.给出了一个计算包含在系统输出核(kerE(h))内的最大受控不变分布的算法,同时讨论了该算法的一些性质.最后,给出一个例子说明如何利用给出的算法计算微分代数系统的包含在系统输出核内的最大受控不变分布.
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| 关 键 词： | 微分代数系统 受控不变分布 输出核 算法. |
| 收稿时间： | 2008-3-8 |
| 修稿时间： | 2008-8-7 |
CONTROLLED INVARIANT DISTRIBUTIONS FOR A CLASS OF NONLINEAR DIFFERENTIAL-ALGEBRAIC SYSTEMS AND THEIR INVARIANT PROPERTIES |
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| WANG Wentao,LI Yuan.CONTROLLED INVARIANT DISTRIBUTIONS FOR A CLASS OF NONLINEAR DIFFERENTIAL-ALGEBRAIC SYSTEMS AND THEIR INVARIANT PROPERTIES[J].Journal of Systems Science and Mathematical Sciences,2009,29(7):925-936. |
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| Authors: | WANG Wentao LI Yuan |
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| Institution: | College of Science, Shenyang University of Technology, Shenyang 110178 |
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| Abstract: | In this paper, by means of M-derivative methods, the concept of controlled invariant distributions is introduced to a class of nonlinear differential-algebraic systems, and some invariant properties on this distribution are discussed. An algorithm of calculating the maximal controlled invariant distributions contained in the system output kernel is developed, and some properties on this algorithm are discussed. An example of calculating the maximal controlled invariant distributions contained in the system output kernel is provided to illustrate the results of the paper. |
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| Keywords: | Differential-algebraic systems controlled invariant distributions output kernel algorithm |
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