| 线性时滞系统独立渐近稳定的充分条件 |
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| 引用本文： | 关新平,黄建华.线性时滞系统独立渐近稳定的充分条件[J].燕山大学学报,1999,23(4):291-293,297. |
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| 作者姓名： | 关新平 黄建华 |
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| 作者单位： | [1]燕山大学电气工程学院 [2]秦皇岛港务局 |
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| 基金项目： | 国家自然科学基金!69504002，国家教委跨世纪人才基金 |
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| 摘 要： | 利用Ｌｙａｐｕｎｏｖ稳定性理论，研究了线性时滞系统的稳定性，获得了一些时滞独立渐近稳定的充分条件，基于这些充分条件建立了几个判定线性时滞系统稳定性的简单判据。并推导出系统具有任意指定收敛速度指数稳定的充分条件。这些条件具有较小的保守性，而且容易验证。算例说明了所得结果的有效性。
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| 关 键 词： | 线性时滞系统 独立渐近稳定 指数稳定 充分条件 |
On Suffcient Conditions for Stability of Linear Delay Systems |
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| Guan Xinping.On Suffcient Conditions for Stability of Linear Delay Systems[J].Journal of Yanshan University,1999,23(4):291-293,297. |
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| Authors: | Guan Xinping |
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| Abstract: | This paper deals with stability of linear systems with timedelays. Utilizing the Lyapunov stability theory, some sufficient conditions for delay-independent stability of linear systems with delaysare presented. Based on these conditions, some simple creterionsfor stability of linear delay systems are obtained, and sufficient conditions for exponential stability with specified decay rate for lineardelay systems are also derived. Those conditions are less conservative and much easy to be verified. Some examples show the effectof the obtsined resultS. |
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| Keywords: | Linear delay systems delay-independent stabiy ex- ponential stability |
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