| 一类混合型周期系统的周期解及其能控性 |
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| 引用本文： | 阎庆旭,唐瑞娜,高存臣.一类混合型周期系统的周期解及其能控性[J].数学的实践与认识,2000,30(2):174-179. |
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| 作者姓名： | 阎庆旭 唐瑞娜 高存臣 |
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| 作者单位： | 1. 中国科学院系统科学研究所,北京,10080
2. 烟台师范学院数学系,烟台,264025 |
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| 基金项目： | 国家自然科学基金资助课题!(69974 0 32 ) |
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| 摘 要： | 本文首先利用 Fourier分析的有关结论和 Cauchy不等式 ,对一类具有滞后与超前偏差变元的 n阶常系数混合型线性周期系统周期解存在唯一性的充要条件进行了讨论 .本文所得到的结果不但是对前人工作的改进 ,而且是对前人工作所存在的问题的一个修正 .然后 ,对所论系统提出一个控制问题并证明了系统的可控性 .
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| 关 键 词： | 泛函微分方程 周期解 可控性 |
| 修稿时间： | 1999-08-31 |
On the Periodic Solution and the Controllability of Compound-Type Periodical System |
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| YAN Qing-xu,TANG Lui-na,GAO Cun-chen.On the Periodic Solution and the Controllability of Compound-Type Periodical System[J].Mathematics in Practice and Theory,2000,30(2):174-179. |
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| Authors: | YAN Qing-xu TANG Lui-na GAO Cun-chen |
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| Abstract: | In this paper, by virtue of some relevant results of Fourier Analysis and Cauchy Inequality, we begin with working on the necessary and sufficient condition for the existence of the periodic solution to a kind of compound\|type linear periodical system with constant coefficients and periodical force term f(t) . The results obtained in this paper, not only extend the previous works, but also modify a few of the mistakes existed in some previous papers. Then, we bring forth a control question to our system, and demonstrate that, under certain conditions, the system discussed in this paper is controllable. |
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| Keywords: | functional differential equation periodic solution controllability |
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