[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()

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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

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

Keywords:

delay-dependent stability;  stochastic system;  interval delay;  linear matrix inequalities(LMIs)

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.

References:

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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.

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