| 时变时滞及中立型时滞大系统的稳定条件 |
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| 引用本文： | 曹科才,钟守铭.时变时滞及中立型时滞大系统的稳定条件[J].电子科技大学学报(社会科学版),2001(6). |
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| 作者姓名： | 曹科才 钟守铭 |
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| 作者单位： | 电子科技大学应用数学系 成都610054
(曹科才)，电子科技大学应用数学系 成都610054(钟守铭) |
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| 摘 要： | 应用大系统的分解方法和一个不等式对具有时变时滞与连接时滞的两类系统进行了研究,给出了其渐近稳定的充分条件,并对一类中立型时滞大系统进行了讨论,利用常数变易法及对系统微分方程解的直接估计,获得了一个关于此系统解的指数稳定的判别方法,对这两类系统的讨论都是在具有连接时滞与变时滞的复杂情况下进行,得到了与以前的文献不同的结果.
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| 关 键 词： | 中立型 时滞 大系统 渐近稳定 指数稳定 |
The Stability Conditions of Time-varying and Neural Large-scale Systems |
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| Cao Kecai,Zhong Shouming.The Stability Conditions of Time-varying and Neural Large-scale Systems[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),2001(6). |
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| Authors: | Cao Kecai Zhong Shouming |
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| Abstract: | In this paper, the problem of asymptotic stability for two kinds of systems, the time-varying and time-delay system as well as the connective time-delay system, are studied by utilizing the method of decomposition for large-scale system and a generalized inequality. The sufficient conditions of asymptotic stability for the systems are concluded from the research. It also discusses a kind of neural time-delay large-scale system. A method of discrimination for the exponential stability of the solution of a neural time-delay system is obtained by applying method of constant change and the direct estimation on the solution of differential equation. All the discussions for the two kinds of systems are under the complicated situation with connective time-varying and time-delay, the results obtained from this research are different from the results reported by any bibliography ever before. |
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| Keywords: | neural conditions time-delay large-scale system asymptotic stability exponential stability |
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