On Delay-independent Stability Criteria for Linear Time-delay Systems

Ai-Guo Wu Guang-Ren Duan

Ai-Guo Wu, Guang-Ren Duan. On Delay-independent Stability Criteria for Linear Time-delay Systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2007, 4(1): 95-100. doi: 10.1007/s11633-007-0095-3
引用本文: Ai-Guo Wu, Guang-Ren Duan. On Delay-independent Stability Criteria for Linear Time-delay Systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2007, 4(1): 95-100. doi: 10.1007/s11633-007-0095-3
Ai-Guo Wu and Guang-Ren Duan. On Delay-independent Stability Criteria for Linear Time-delay Systems. International Journal of Automation and Computing, vol. 4, no. 1, pp. 95-100, 2007 doi:  10.1007/s11633-007-0095-3
Citation: Ai-Guo Wu and Guang-Ren Duan. On Delay-independent Stability Criteria for Linear Time-delay Systems. International Journal of Automation and Computing, vol. 4, no. 1, pp. 95-100, 2007 doi:  10.1007/s11633-007-0095-3

On Delay-independent Stability Criteria for Linear Time-delay Systems

doi: 10.1007/s11633-007-0095-3
基金项目: 

This work was supported by the Chinese Outstanding Youth Foundation under Grant (No.69925308);by Program for Changjiang Scholars and Innovative Research Team in University.

On Delay-independent Stability Criteria for Linear Time-delay Systems

Funds: 

This work was supported by the Chinese Outstanding Youth Foundation under Grant (No.69925308);by Program for Changjiang Scholars and Innovative Research Team in University.

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出版历程
  • 收稿日期:  2006-07-05
  • 修回日期:  2006-10-30
  • 刊出日期:  2007-01-15

On Delay-independent Stability Criteria for Linear Time-delay Systems

doi: 10.1007/s11633-007-0095-3
    基金项目:

    This work was supported by the Chinese Outstanding Youth Foundation under Grant (No.69925308);by Program for Changjiang Scholars and Innovative Research Team in University.

摘要: Several LMI representations for delay-independence stability are proposed by applying Projection Lemma and the so- calledSmall Scalar Method.These criteria realize the elimination of the products coupling the system matrices and Lyapunov matrices by introducing some additional matrices.When they are applied to robust stability analysis for polytopic uncertain systems, the vertex-dependent Lyapunov functions are allowed,so less conservative results can be obtained.A numerical example is employed to illustrate the effect of these proposed criteria.

English Abstract

Ai-Guo Wu, Guang-Ren Duan. On Delay-independent Stability Criteria for Linear Time-delay Systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2007, 4(1): 95-100. doi: 10.1007/s11633-007-0095-3
引用本文: Ai-Guo Wu, Guang-Ren Duan. On Delay-independent Stability Criteria for Linear Time-delay Systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2007, 4(1): 95-100. doi: 10.1007/s11633-007-0095-3
Ai-Guo Wu and Guang-Ren Duan. On Delay-independent Stability Criteria for Linear Time-delay Systems. International Journal of Automation and Computing, vol. 4, no. 1, pp. 95-100, 2007 doi:  10.1007/s11633-007-0095-3
Citation: Ai-Guo Wu and Guang-Ren Duan. On Delay-independent Stability Criteria for Linear Time-delay Systems. International Journal of Automation and Computing, vol. 4, no. 1, pp. 95-100, 2007 doi:  10.1007/s11633-007-0095-3
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