Delay-Dependent Stability Criteria for Time-Delayed Systems

Chang Hui Song

doi:10.4028/www.scientific.net/AMM.313-314.1184

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 313-314Delay-Dependent Stability Criteria for...

Delay-Dependent Stability Criteria for Time-Delayed Systems

Abstract:

This paper drivesthe asymptotical stability conditions for a class of linear systems with time delay.First, aseries of integral inequalities based on quadratic term are formulated bycombining Leibniz-Newton formula. Next, basedon Lyapunov-Krasovskii functional method and linearmatrix inequality, the sufficient conditions of delay-dependent stability are derived toensure thelinear systemswith timedelay are asymptotically stable. Last,the results are illustrated by some numerical examples andthe delay bounds obtained in this paper are of less conservative.

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Periodical:

Applied Mechanics and Materials (Volumes 313-314)

Pages:

1184-1187

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.313-314.1184

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Online since:

March 2013

Authors:

Chang Hui Song

Keywords:

Asymptotical Stability, Delay-Dependent, LMI, Uncertain Linear Systems

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References

[1] T. Mori, "Simple stability criteria for single and composite linear systems with time delay," Int. J. Contr., vol. 34,(1981), pp.1175-1184.

Google Scholar

[2] T. Mori, "Criteria for asymptotic stability of linear time-delay systems", IEEE Trans. Automat. Contr. vol. 30(1985), pp.158-161.

DOI: 10.1109/tac.1985.1103901

Google Scholar

[3] S.-S. Wang, "Further results on stability of" Syst. Contr. Lett . , vol. 19(1992), pp.165-168.

Google Scholar

[4] T.-J. Su and C.-G. Huang, "Robust stability of delay dependence for linear uncertain systems," IEEE Trans. Automat. Contr., vol. 31(1992), pp.1656-1659.

DOI: 10.1109/9.256406

Google Scholar

[5] K. Gu, "Discretized LMI set in the stability problem of linear uncertain time-delay systems", Int. J. Contr., vol. 68(1997), p.923–934.

DOI: 10.1080/002071797223406

Google Scholar

[6] K. Gu, "A generalized discretization scheme of Lyapunov functional in the stability problem of linear uncertain time-delay systems", Int. J. Robust Nonlinear Contr., vol. 9(1999), p.1–14.

DOI: 10.1002/(sici)1099-1239(199901)9:1<1::aid-rnc382>3.0.co;2-s

Google Scholar

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

DOI: 10.1109/9.911431

Google Scholar

[8] J. Hale, Theory of Functional Differential Equations. New York: Springer - Verlag, 1977.

Google Scholar