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具有时变时滞的线性离散系统的稳定性新判据

A new criterion for stability of discrete-time systems with time-varying state delay
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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。 This paper is concerned with the stability analysis of discrete-tlme 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 example is given to demonstrate effectiveness of the proposed method.
作者 张金海 邢军
机构地区 辽宁科技大学理学院
出处 《辽宁科技大学学报》 CAS 2009年第4期342-346,396,共6页 Journal of University of Science and Technology Liaoning
关键词 LYAPUNOV泛函 离散时滞系统 时滞相关 线性矩阵不等式 Lyapunov function discrete time-delay systems delay-dependent linear matrix inequality
分类号 O231.1 [理学—运筹学与控制论]
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参考文献12

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二级参考文献13

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共引文献30

辽宁科技大学学报
2009年 第4期

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