| 驻定系统在其特征方程以零为重根时的稳定性 |
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| 引用本文： | 毛成立,姚文起,康永海.驻定系统在其特征方程以零为重根时的稳定性[J].燕山大学学报,1990(1). |
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| 作者姓名： | 毛成立 姚文起 康永海 |
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| 作者单位： | 东北重型机械学院基础部，东北重型机械学院基础部，东北重型机械学院基础部 |
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| 摘 要： | 本文讨论了驻定系统在其一次近似特征方程以零为重根,但无正实根及纯虚根的情况下零解的稳定问题,得到了判断该系统零解为稳定或为不稳定的充分条件。在第一临界情况下关于稳定或不稳定的结果,是本文定理当 r=1的推论。
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| 关 键 词： | 驻定系统 特征方程 正定函数 稳定 |
Stability of Stationary System in the Case of Its Characteristic Equation with r-Multiple Zero Roots |
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| Mao Chengli Yao Wenqi Kang yong hai.Stability of Stationary System in the Case of Its Characteristic Equation with r-Multiple Zero Roots[J].Journal of Yanshan University,1990(1). |
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| Authors: | Mao Chengli Yao Wenqi Kang yong hai |
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| Institution: | Mao Chengli Yao Wenqi Kang yong hai |
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| Abstract: | This paper discusses the problem of the stability of stationary motion in the case that the characteristic equation of its first approximationhas r-multiple zero roots,and arrives at sufficient conditionshat can judge the trivial solution of the discussed system to be stableor not.The results about stability or un unstability in the firstcritical case are corrollarics of the theorems in thes paper when r=1. |
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| Keywords: | statioary system characteristic eqution definitely positive function stability |
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