New Theorem for Asymptotically Stability for Time-Delayed Systems Based on LMI

Chang Hui Song

doi:10.4028/www.scientific.net/AMM.433-435.1086

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 433-435New Theorem for Asymptotically Stability for...

New Theorem for Asymptotically Stability for Time-Delayed Systems Based on LMI

Abstract:

This paper stadies the problem of the asymptotical stability for a time-delayed systems. By using LMI method, a new approach is used to derive a delay-dependent sufficient condition, which can guarantee that the time-delayed systems with multiple time delays is asymptotical stable. At last, a numberical example is given to show that the new theorem is more effective than the present methods.

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Periodical:

Applied Mechanics and Materials (Volumes 433-435)

Pages:

1086-1090

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.433-435.1086

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Online since:

October 2013

Authors:

Chang Hui Song*

Keywords:

Asymptotically Stability, LMI, Time-Delayed Systems

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* - Corresponding Author

References

[1] K. Gu and Niculescu. Further remarks on additional dynamics in various model transformations of linear delay systems, IEEE Trans. Automat. Contr., Vol. 46, p.497–500, (2001).

DOI: 10.1109/9.911431

Google Scholar

[2] M. Wu, Y. He, J. -H. She and G. -P. Liu. Delay-dependent criteria for robust stability of time-varying delay systems, Automatica, Vol. 40, p.1435–1439, (2004).

DOI: 10.1016/j.automatica.2004.03.004

Google Scholar

[3] M. Wu, Y. He and J. -H. She. New delay-dependent stability criteria and stabilizing method for neutral systems, IEEE Trans. Automat. Contr., Vol. 49, pp.2266-2271, (2004).

DOI: 10.1109/tac.2004.838484

Google Scholar

[4] Q. -L. Han., New results for delay-dependent stability of linear systems with time-varying delay, Int. J. Sys. Sci., Vol. 33, pp.213-228, (2002).

DOI: 10.1080/00207720110092207

Google Scholar

[5] He Yong, Wang Qingguo, Xie Lihua, et al. Further improvement of free weighting matrices technique for systems with time-varying delay[J]. IEEE trans on Automatic Control, Vol. 52, No. 2, pp.293-299, (2007).

DOI: 10.1109/tac.2006.887907

Google Scholar

[6] Mori T, Fukuma N and Kuwahara M). Simple stability criteria for single and composite linear systems with time delays, International Journal of Control., Vol. 36, pp.1175-1184, (1981).

DOI: 10.1080/00207178108922590

Google Scholar

[7] P L Liu and T J Su. Robust stability of interval Time-delay systems with delay dependence, Systems and Control Letters., Vol. 33, pp.231-239, (1998).

DOI: 10.1016/s0167-6911(97)00098-4

Google Scholar

[8] Y. He, M. Wu, J. -H. She and G. -P. Liu. Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic type uncertainties, IEEE Trans. Automat. Contr., Vol. 49, pp.828-832, (2004).

DOI: 10.1109/tac.2004.828317

Google Scholar