On determination of the impulsive solutions and impulsive properties to linear non-homogeneous matrix differential equations
文献类型：期刊论文
| 作者 | Tan, LS |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2000-04-01 |
| 卷号 | 20期号:2页码:261-272 |
| 关键词 | linear matrix differential equation impulsive and smooth solution impulsive free initial conditions {1}-inverse |
| 英文摘要 | This note contains three main results. Firstly, a complete solution of the Linear Non-Homogeneous Matrix Differential Equations (LNHMDEs) is presented that takes into account both the non-zero initial conditions of the pseudo state and the nonzero initial conditions of the input. Secondly, in order to characterise the dynamics of the LNHMDEs correctly,some important concepts such as the state, slow state (smooth state) and fast state (impulsive state) are generalized to the LNHMDE case and the solution of the LNHMDEs is separated into the smooth (slow) response and the fast (implusive) response. As a third result, a new characterization of the impulsive free initial conditions of the LNHMDEs is given. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | SINGULAR SYSTEMS ; DISTURBANCE LOCALIZATION ; COEFFICIENTS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000087619000016 |
| 公开日期 | 2015-12-01 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/8476]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tan, LS. On determination of the impulsive solutions and impulsive properties to linear non-homogeneous matrix differential equations[J]. ACTA MATHEMATICA SCIENTIA,2000,20(2):261-272. |
| APA | Tan, LS.(2000).On determination of the impulsive solutions and impulsive properties to linear non-homogeneous matrix differential equations.ACTA MATHEMATICA SCIENTIA,20(2),261-272. |
| MLA | Tan, LS."On determination of the impulsive solutions and impulsive properties to linear non-homogeneous matrix differential equations".ACTA MATHEMATICA SCIENTIA 20.2(2000):261-272. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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