| dx_i/dt=-a_(ii)(t)f_(ii)(x_i)+sum(a_(ij)(t)f_(ij)(x_j)) from j=1(j≠i) to n 的解的全局稳定性 |
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| 引用本文： | 钟洪发,富钰.dx_i/dt=-a_(ii)(t)f_(ii)(x_i)+sum(a_(ij)(t)f_(ij)(x_j)) from j=1(j≠i) to n 的解的全局稳定性[J].辽宁师范大学学报(自然科学版),1992(4). |
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| 作者姓名： | 钟洪发 富钰 |
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| 作者单位： | 辽宁师范大学数学系，沈阳电大 |
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| 摘 要： | 讨论了系统dx_i/dt=-a_(ii)(t)f_(ii)(x_i)+sum(a_(ij)(t)f_(ij)(x_j)) from j=1(j≠i) to n(i＝1,...,n),应用大系统的分解理论,得到了该系统零解全局稳定的充分条件.此条件简明扼要,容易验证,实用方便.
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| 关 键 词： | 全局稳定 分解理论 大系统 李雅普诺夫函数 |
GLOBAL ASYMPTOTIC STABILITY OF SOLUTION OF |
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| Zhong Hongfa.GLOBAL ASYMPTOTIC STABILITY OF SOLUTION OF[J].Journal of Liaoning Normal University(Natural Science Edition),1992(4). |
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| Authors: | Zhong Hongfa |
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| Abstract: | This paper discusses the following large scale systems Using the decomposition theory of large scale systems,we obtain the condition of the global stability of zero solution of these systems. The condition is not only brief,easily verifed,but also convenient for use. |
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| Keywords: | global stability large scale system decomposition theory Liapunov function |
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