刘坤, 刘贺平, 赵立英. 时滞随机系统的时滞相关稳定性[J]. 工程科学学报, 2009, 31(4): 516-519. DOI: 10.13374/j.issn1001-053x.2009.04.024
引用本文: 刘坤, 刘贺平, 赵立英. 时滞随机系统的时滞相关稳定性[J]. 工程科学学报, 2009, 31(4): 516-519. DOI: 10.13374/j.issn1001-053x.2009.04.024
LIU Kun, LIU He-ping, ZHAO Li-ying. Delay-dependent stability of stochastic systems with time-varying delays[J]. Chinese Journal of Engineering, 2009, 31(4): 516-519. DOI: 10.13374/j.issn1001-053x.2009.04.024
Citation: LIU Kun, LIU He-ping, ZHAO Li-ying. Delay-dependent stability of stochastic systems with time-varying delays[J]. Chinese Journal of Engineering, 2009, 31(4): 516-519. DOI: 10.13374/j.issn1001-053x.2009.04.024

时滞随机系统的时滞相关稳定性

Delay-dependent stability of stochastic systems with time-varying delays

  • 摘要: 将自由权矩阵思想推广到一类时滞随机系统中,研究了其时滞相关稳定性问题.通过构造新的Lyapunov函数,引入适当的自由权矩阵,推导出系统渐近稳定的时滞相关的充分条件.所得结果完全基于线性矩阵不等式的形式给出,不需要对原系统模型进行变换.数值算例说明了方法的可行性.

     

    Abstract: The idea of free-weighting matrices was extended to a class of stochastic systems with time-varying delays, and the delay-dependent stability of the stochastic systems was studied. By establishing a new Lyapunov function and introducing appropriate free-weighting matrices, a sufficient delay-dependent condition was proposed for the asymptotic stability of such a system. The result was in the form of linear matrix inequalities completely and model transformation was unnecessary. Two examples were given to illustrate the effectiveness of the proposed method.

     

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