| 具有时变时滞的线性离散系统的稳定性新判据 |
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| 引用本文： | 张金海,邢军.具有时变时滞的线性离散系统的稳定性新判据[J].鞍山科技大学学报,2009(4):342-346,396. |
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| 作者姓名： | 张金海 邢军 |
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| 作者单位： | 辽宁科技大学理学院; |
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| 摘 要： | 讨论了含有时变状态时滞的离散时间的系统稳定性问题。通过定义一个恰当的Lyapunov泛函,并利用改进的自由权矩阵方法,结合一些不等式处理交叉乘积项定界问题,得到了一个新的时滞相关的渐近稳定判据。该判据用线性矩阵不等式的形式给出,其优点在于降低了现有文献结论的保守性。最后给出数值例子,说明本文结果的有效性和优越性。
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| 关 键 词： | Lyapunov泛函 离散时滞系统 时滞相关 线性矩阵不等式 |
A new criterion for stability of discrete-time systems with time-varying state delay |
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| ZHANG Jin-hai,XING Jun.A new criterion for stability of discrete-time systems with time-varying state delay[J].Journal of Anshan University of Science and Technology,2009(4):342-346,396. |
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| Authors: | ZHANG Jin-hai XING Jun |
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| Institution: | School of;University of Science and Technology Liaoning;Anshan 114051;China |
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| Abstract: | This paper is concerned with the stability analysis of discrete-time systems with time-varying state delay.By defining an appropriate Lyapunov-Krasovskii functional and by employing the developed free weight matrices technique to achieve delay dependence and by utilizing some bounding inequalities for cross products between two vectors,a sufficient condition is derived in term of the linear matrix inequalities.The merit of the proposed condition lies in their less conservativeness.Finally,a numerical exampl... |
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| Keywords: | Lyapunov function discrete time-delay systems delay-dependent linear matrix inequality |
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