| 区间时滞随机系统的时滞相关稳定性改进判据(英文) |
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| 引用本文： | 于建江,张侃健,费树岷.区间时滞随机系统的时滞相关稳定性改进判据(英文)[J].东南大学学报,2009,25(2):213-218. |
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| 作者姓名： | 于建江 张侃健 费树岷 |
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| 作者单位： | 于建江,Yu Jianjiang(东南大学自动化学院,南京,210096;盐城师范学院信息科学与技术学院,盐城,224002);张侃健,费树岷,Zhang Kanjian,Fei Shumin(东南大学自动化学院,南京,210096) |
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| 基金项目： | 国家自然科学基金，the Natural Science Foundation of the Jiangsu Higher Education Institutions of China |
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| 摘 要： | 讨论了一类具有区间时变时滞的不确定随机系统的稳定性问题.利用区间时滞的上、下界信息,构造了一个新颖的Lyapunov-Krasovskii泛函.以线性矩阵不等式(LMIs)形式给出了时滞相关稳定性的充分判据,利用Matlab工具箱可以很容易对这些判据进行检验.推导过程基于Jensen积分不等式方法,避免了系统模型变换和交叉项有界等易于产生保守性的方法的使用,故得出判据的保守性小于文献中已有的结果.由于在获得的稳定性条件中没有引入多余的矩阵变量,因此所得判据的计算复杂度明显降低.最后,用一个数值例子说明了该方法的有效性和具有的优势.
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| 关 键 词： | 时滞相关稳定性 随机系统 区间时滞 线性矩阵不等式 |
Improved delay-dependent stability criteria for stochastic systems with time-varying interval delay |
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| Yu Jianjiang, Zhang Kanjian Fei Shumin.Improved delay-dependent stability criteria for stochastic systems with time-varying interval delay[J].Journal of Southeast University(English Edition),2009,25(2):213-218. |
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| Authors: | Yu Jianjiang Zhang Kanjian Fei Shumin |
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| Institution: | Yu Jianjiang1,2 Zhang Kanjian1 Fei Shumin1(1School of Automation,Southeast University,Nanjing 210096,China)(2School of Information Science , Technology,Yancheng Teachers University,Yancheng 224002,China) |
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| Abstract: | The problem of the stability for a class of stochastic systems with time-varying interval delay and the norm-bounded uncertainty is investigated.Utilizing the information of both the lower and the upper bounds of the interval time-varying delay,a novel Lyapunov-Krasovskii functional is constructed.The delay-dependent sufficient criteria are derived in terms of linear matrix inequalities(LMIs),which can be easily checked by the LMI in the Matlab toolbox.Based on the Jensen integral inequality,neither model t... |
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| Keywords: | delay-dependent stability stochastic system interval delay linear matrix inequalities(LMIs) |
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