一类具独立子系统的退化时滞控制系统的能控性

蒋威

一类具独立子系统的退化时滞控制系统的能控性

蒋威

安徽大学, 数学系, 合肥, 230039

基金项目: 国家自然科学基金资助项目(10241005)

详细信息

作者简介:
蒋威(1959- ),男,安微人,教授,博士,研究方向为泛函微分方程与控制理论(E-mail:jiangwei@mars.ahu.edu.cn).

中图分类号: O175.15
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- 被引次数: 0
出版历程
- 收稿日期: 2002-01-30
- 修回日期: 2003-01-10
- 刊出日期: 2003-06-15

The Controllability of Delay Degenerate Control Systems With Independent Subsystems

JIANG Wei

Department of Mathematics, University of Anhui, Hefei 230039, P. R. China

摘要

摘要: 讨论退化时滞微分控制系统的能控性问题.首先将退化时滞微分控制系统化为标准形式,除去关联项,得到具独立子系统的退化时滞微分控制系统.然后就一般的退化时滞微分控制系统,得到其能控的充要条件为其可达集等于全空间.对于具独立子系统的广义时滞控制系统,给出其能控的充要条件为每个子系统的可达集等于其相应的子空间,并给出其能控的代数判据,最后举例说明主要结果的应用.
- 独立子系统 /
- 退化时滞微分系统 /
- 能控性
Abstract: The controllability of delay degenerate differential control systems is discussed. Firstly, delay degenerate differential control system was transformed to be canonical form, and the connected terms were gotten rid of, had delay degenerate differential control systems with independent subsystems. For the general delay degenerate differnetial control systems, it was gotten that the necessary and sufficient condition of that they are controllable is that their reachable set is equal to the whole space. For the delay degenerate differential control systems with independent subsystems, it was gotten that the necessary and sufficient conditions of that they are controllable are that their reachable sets are equal to their corresponding subspaces. Then some algebra criteria were gotten. Finally, an example was given to illustrate the main results.
- independent subsystem /
- delay degenerate differential control system /
- controllability

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参考文献(21)

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