| 不确定线性系统新的稳定性准则 |
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| 引用本文： | 廖慧敏,谭满春. 不确定线性系统新的稳定性准则[J]. 计算机工程与应用, 2014, 0(22): 256-259,264 |
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| 作者姓名： | 廖慧敏 谭满春 |
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| 作者单位： | 暨南大学 数学系,广州,510632 |
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| 基金项目： | 广东省自然科学基金(No.S201201001036)；广东省科学计划项目(No.2009B011400046)。 |
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| 摘 要： | 研究了带有区间时滞的不确定系统的稳定性问题。通过采用时滞分割法,把时滞区间分割成任意两小段,并构造恰当的Lyapunov函数,利用积分不等式,得到了新的时滞相关的稳定性准则。通过数值例子验证了结果的有效性。
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| 关 键 词： | 不确定线性系统 Lyapunov函数 时滞依赖 稳定性 |
New stability criteria for uncertain linear systems |
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| LIAO Huimin,TAN Manchun. New stability criteria for uncertain linear systems[J]. Computer Engineering and Applications, 2014, 0(22): 256-259,264 |
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| Authors: | LIAO Huimin TAN Manchun |
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| Affiliation: | (Department of Mathematics, Jinan University, Guangzhou 510632, China) |
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| Abstract: | The stability problem for uncertain linear systems with interval time-varying delay is studied. Based on the delay-dividing approach, the delay interval is partitioned into two subintervals. By constructing an appropriate Lyapunov func-tion and using integral inequalities, some delay-dependent stability criteria are obtained. Numerical examples are given to illustrate the effectiveness of the results. |
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| Keywords: | uncertain linear systems Lyapunov function delay-dependent stability |
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