A Stability Criterion for Singular Systems with Two Additive Time-varying Delay Components

A Stability Criterion for Singular Systems with Two Additive Time-varying Delay Components[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(1): 39-45 . doi: 10.1007/s11633-013-0694-0
引用本文: A Stability Criterion for Singular Systems with Two Additive Time-varying Delay Components[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(1): 39-45 . doi: 10.1007/s11633-013-0694-0
A Stability Criterion for Singular Systems with Two Additive Time-varying Delay Components. International Journal of Automation and Computing, vol. 10, no. 1, pp. 39-45 , 2013. doi: 10.1007/s11633-013-0694-0
Citation: A Stability Criterion for Singular Systems with Two Additive Time-varying Delay Components. International Journal of Automation and Computing, vol. 10, no. 1, pp. 39-45 , 2013. doi: 10.1007/s11633-013-0694-0

A Stability Criterion for Singular Systems with Two Additive Time-varying Delay Components

doi: 10.1007/s11633-013-0694-0
基金项目: 

This work was supported by National Natural Science Foundation of China (No. 11071193), Research Foundation of Education Bureau of Shan0xi Province (No. 11JK0509), and Research Foundation of Baoji University of Arts and Sciences (No. ZK11044).

A Stability Criterion for Singular Systems with Two Additive Time-varying Delay Components

Funds: 

This work was supported by National Natural Science Foundation of China (No. 11071193), Research Foundation of Education Bureau of Shan0xi Province (No. 11JK0509), and Research Foundation of Baoji University of Arts and Sciences (No. ZK11044).

计量
  • 文章访问数:  387
  • HTML全文浏览量:  15
  • PDF下载量:  2
  • 被引次数: 0
出版历程
  • 收稿日期:  2012-02-01
  • 修回日期:  2012-08-03
  • 刊出日期:  2013-02-20

A Stability Criterion for Singular Systems with Two Additive Time-varying Delay Components

doi: 10.1007/s11633-013-0694-0
    基金项目:

    This work was supported by National Natural Science Foundation of China (No. 11071193), Research Foundation of Education Bureau of Shan0xi Province (No. 11JK0509), and Research Foundation of Baoji University of Arts and Sciences (No. ZK11044).

摘要: The problem of stability for singular systems with two additive time-varying delay components is investigated. By constructing a simple type of Lyapunov-Krasovskii functional and utilizing free matrix variables in approximating certain integral quadratic terms, a delay-dependent stability criterion is established for the considered systems to be regular, impulse free, and stable in terms of linear matrix inequalities (LMIs). Based on this criterion, some new stability conditions for singular systems with a single delay in a range and regular systems with two additive time-varying delay components are proposed. These developed results have advantages over some previous ones in that they have fewer matrix variables yet less conservatism. Finally, two numerical examples are employed to illustrate the effectiveness of the obtained theoretical results.

English Abstract

A Stability Criterion for Singular Systems with Two Additive Time-varying Delay Components[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(1): 39-45 . doi: 10.1007/s11633-013-0694-0
引用本文: A Stability Criterion for Singular Systems with Two Additive Time-varying Delay Components[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(1): 39-45 . doi: 10.1007/s11633-013-0694-0
A Stability Criterion for Singular Systems with Two Additive Time-varying Delay Components. International Journal of Automation and Computing, vol. 10, no. 1, pp. 39-45 , 2013. doi: 10.1007/s11633-013-0694-0
Citation: A Stability Criterion for Singular Systems with Two Additive Time-varying Delay Components. International Journal of Automation and Computing, vol. 10, no. 1, pp. 39-45 , 2013. doi: 10.1007/s11633-013-0694-0
参考文献 (11)

目录

    /

    返回文章
    返回