| 线性离散周期奇异系统的可解性与渐近稳定性 |
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| 引用本文： | 汤玉东,邹 云.线性离散周期奇异系统的可解性与渐近稳定性[J].控制理论与应用,2004,21(4):614-616. |
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| 作者姓名： | 汤玉东 邹 云 |
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| 作者单位： | 南京理工大学自动化系,江苏,南京,210094 |
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| 基金项目： | 国家自然科学基金项目(60074007); 教育部资助优秀青年教师基金项目; 高等学校骨干教师资助计划项目. |
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| 摘 要： | 讨论了线性离散周期奇异系统初值问题的可解性和渐近稳定性问题.首先分析总结了线性离散变系数奇异系统可解性及其广义状态解的一般概念.在此基础上,定义了线性离散变系数奇异系统的一致渐近稳定性,并通过增加系统维数把线性离散周期奇异系统转化为线性定常奇异系统,从而得到了线性离散周期奇异系统可解和一致渐近稳定的充要条件.
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| 关 键 词： | 离散周期奇异系统 一致渐近稳定性 广义状态解 |
| 文章编号： | 1000-8152(2004)04-0614-03 |
| 收稿时间： | 2002/5/13 0:00:00 |
| 修稿时间： | 2003/5/19 0:00:00 |
Solvability and asymptotic stabilityof linear discrete periodic singular systems |
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| TANG Yu-dong,ZOU Yun.Solvability and asymptotic stabilityof linear discrete periodic singular systems[J].Control Theory & Applications,2004,21(4):614-616. |
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| Authors: | TANG Yu-dong ZOU Yun |
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| Affiliation: | Department of Automation,Nanjing University of Science and Technology, Nanjing Jiangsu 210094,China |
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| Abstract: | The notion of solvability and stability for linear discrete periodic singular systems is investigated.First,the general notion of solvability and generalized state solutions for linear discrete coefficient_vary singular systems are analyzed.Then,the definitions of solvability and stability for linear discrete periodic singular systems are proposed.Finally,by means of converting the linear discrete periodical singular systems into a class of dimension_augmented constant systems, some corresponding necessary and sufficient conditions for the solvability and asymptotic stability are presented based on existing works. |
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| Keywords: | discrete periodic singular system asymptotic stability generalized state solutions |
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