| 一类带有时滞的动力系统的几个定理与应用 |
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| 引用本文： | 赵杰民,黄克累,陆启韶.一类带有时滞的动力系统的几个定理与应用[J].应用数学学报,1995(3). |
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| 作者姓名： | 赵杰民 黄克累 陆启韶 |
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| 作者单位： | 北京航空航天大学应用数理系 |
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| 基金项目： | 国家自然科学基金,航空科学基金,国家教委博士点基金 |
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| 摘 要： | 本文通过李雅普诺夫泛函方法获得了一类带有时滞的动力系统的运动稳定性、有界性、周期运动存在性和平稳振荡存在性的几个定理，并给出了时滞范围的简明表达式．最后，应用获得的定理解决了几个实际问题．
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| 关 键 词： | 李雅普诺夫泛函，稳定性，有界性，周期运动，平稳振荡，时滞 |
SOME THEOREMS FOR A CLASS OF DYNAMICAL SYSTEM WITH DELAY AND THEIR APPLICATIONS |
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| ZHAO JIEMIN, HUANG KELEI, LU QISHAO.SOME THEOREMS FOR A CLASS OF DYNAMICAL SYSTEM WITH DELAY AND THEIR APPLICATIONS[J].Acta Mathematicae Applicatae Sinica,1995(3). |
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| Authors: | ZHAO JIEMIN HUANG KELEI LU QISHAO |
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| Abstract: | In this paper, the dynamical system with delay is considered. We obtain some theorems on stability, boundedness, existence of periodic motions and stationary oscillation by means of the method of Lyapunov functional. A concise expression about the accurate bounds of delay are obtained. Finally, some practical problems are resolved by applying these theorems in this paper. |
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| Keywords: | Lyapunov functional stability boundedness periodic motions stationary oscillation delay |
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