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[1] Yu Jianjiang, Zhang Kanjian, Fei Shumin, et al. Improved delay-dependent stability criteria for stochastic systemswith time-varying interval delay [J]. Journal of Southeast University (English Edition), 2009, 25 (2): 213-218. [doi:10.3969/j.issn.1003-7985.2009.02.015]
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Improved delay-dependent stability criteria for stochastic systemswith time-varying interval delay()
区间时滞随机系统的时滞相关稳定性改进判据
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
25
Issue:
2009 2
Page:
213-218
Research Field:
Automation
Publishing date:
2009-06-30

Info

Title:
Improved delay-dependent stability criteria for stochastic systemswith time-varying interval delay
区间时滞随机系统的时滞相关稳定性改进判据
Author(s):
Yu Jianjiang1, 2, Zhang Kanjian1, Fei Shumin1
1School of Automation, Southeast University, Nanjing 210096, China
2School of Information Science and Technology, Yancheng Teachers University, Yancheng 224002, China
于建江1, 2 , 张侃健1, 费树岷1
1东南大学自动化学院, 南京 210096; 2盐城师范学院信息科学与技术学院, 盐城 224002
Keywords:
delay-dependent stability;  stochastic system;  interval delay;  linear matrix inequalities(LMIs)
时滞相关稳定性;  随机系统;  区间时滞;  线性矩阵不等式
PACS:
TP271+.61
DOI:
10.3969/j.issn.1003-7985.2009.02.015
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 transformations nor bounding techniques for cross terms is employed, so the derived criteria are less conservative than the existing results.Meanwhile, the computational complexity of the obtained stability conditions is reduced because no redundant matrix is introduced.A numerical example is given to show the effectiveness and the benefits of the proposed method.
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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Memo

Memo:
Biographies: Yu Jianjiang(1975—), male, graduate;Zhang Kanjian(corresponding author), male, doctor, professor, kjzhang@seu.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.60874030, 60574006, 60404006), the Natural Science Foundation of the Jiangsu Higher Education Institutions of China(No.07KJB510125).
Citation: 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.
Last Update: 2009-06-20