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Delay-Dependent Robust Asymptotically Stable for Linear Time Variant Systems | ||
| AUT Journal of Modeling and Simulation | ||
| مقاله 5، دوره 41، شماره 1، تیر 2009، صفحه 35-40 اصل مقاله (96.58 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22060/miscj.2009.222 | ||
| نویسندگان | ||
| D. Behmardii؛ Y. Ordokhaniii؛ S. Sedaghatiii | ||
| چکیده | ||
| In this paper, the problem of delay dependent robust asymptotically stable for uncertain linear time-variant system with multiple delays is investigated. A new delay-dependent stability sufficient condition is given by using the Lyapunov method, linear matrix inequality (LMI), parameterized first-order model transformation technique and transformation of the interval uncertainty in to the norm bounded uncertainty. A numerical example is presented to illustrate our present stability criterion allows an upper bound which is bigger on the size of the delay in comparison with those in the literature. | ||
| کلیدواژه‌ها | ||
| Lyapunov-Krasovskii Functional؛ Linear matrix inequality؛ Parameterized first-order model transformation؛ Time-delay systems | ||
| عنوان مقاله [English] | ||
| Delay-Dependent Robust Asymptotically Stable for Linear Time Variant Systems | ||
| چکیده [English] | ||
| In this paper, the problem of delay dependent robust asymptotically stable for uncertain linear time-variant system with multiple delays is investigated. A new delay-dependent stability sufficient condition is given by using the Lyapunov method, linear matrix inequality (LMI), parameterized first-order model transformation technique and transformation of the interval uncertainty in to the norm bounded uncertainty. A numerical example is presented to illustrate our present stability criterion allows an upper bound which is bigger on the size of the delay in comparison with those in the literature. | ||
| کلیدواژه‌ها [English] | ||
| Lyapunov-Krasovskii Functional, Linear matrix inequality, Parameterized first-order model transformation, Time-delay systems | ||
| مراجع | ||
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[6] Li, X. and de Souza, C. E., 1997, “Delay dependent robust
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[7] Macdoonald, N., 1989, Biological Delay Systems: Linear Stability Theory, CambridgeUniversity Press, Cambridge.
[8] Niculescu, S.-I., Doin, J.-M., Dugard, L., and Li, H., 1997, “Stability of linear systems with several delays: An L.M.I. approach.” JESA, special issue on ‘Analysis and control of time-delay systems’ 31, 955-970.
[9] Niculescu, S.-I., 2001, Delay effects on stability: A robust
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[10] Stepan, G., 1998, “Retarded dynamical system stability and characteristic function.” Research Notes in Mathematics Series, John Wiley, New York, P:210.
[11] Su, J .H., 1994, “Further results on the robust stability of linear systems with a single delay.” Systems and Control Letters, 23, 375-379.
[12] Zhang, Z., Liao, and Ch. Li, X., 2006, “Delay-dependent robust stability analysis for interval linear time-variant system with delays and application to delayed neural networks.” Neurocomputating, doi:10.1016/j.neucom.2006.09.010, . | ||
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