Delay dependent robust stability of singular systems with additive time-varying delays

被引：33

作者：

Chaibi N. ^{[1
]}

Tissir E.H. ^{[1
]}

Hmamed A. ^{[1
]}

机构：

[1] Laboratory of Electronics, Signals Systems and Data Processing (LESSI), Department of Physics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohammed Ben Abellah, Fez-Atlas, Fez, 30000

来源：

Chaibi, N. (ieea_nour@yahoo.fr) | 1600年 / Chinese Academy of Sciences卷 / 10期

关键词：

additive time-varying delays; delay-dependent conditions; linear matrix inequalities (LMIs); robust stability; Singular systems;

D O I：

10.1007/s11633-013-0700-6

中图分类号：

学科分类号：

摘要：

This paper considers the problem of delay-dependent robust stability for uncertain singular systems with additive time-varying delays. The purpose of the robust stability problem is to give conditions such that the uncertain singular system is regular, impulse free, and stable for all admissible uncertainties. The results are expressed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the effectiveness of the proposed method. © 2013 Institute of Automation, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：85 / 90

页数：5

共 37 条

[1]

Saadni S.M., Chaaban M., Mehdi D., Robust stability and stabilization of a class of singular systems with multiple time-varying delays, Asian Journal of Control, 8, 1, pp. 1-11, (2006)

[2]

Dai L., Singular Control Systems, (1989)

[3]

Lewis F.L., A survey of linear singular systems, Circuits, Systems, and Signal Processing, 5, 1, pp. 3-36, (1986)

[4]

Ma S., Zhang C., Zhu S., Robust stability for discrete-time uncertain singular Markov jump systems with actuator saturation, IET Control Theory and Applications, 5, 2, pp. 255-262, (2011)

[5]

Ma S., Boukas E.K., Stability and robust stabilisation for uncertain discrete stochastic hybrid singular systems with time delay, IET Control Theory and Applications, 3, 9, pp. 1217-1225, (2009)

[6]

Ma S.P., Boukas E.K., Chinniah Y., Stability and stabilization of discrete-time singular Markov jump systems with time-varying delay, International Journal of Robust and Nonlinear Control, 20, 5, pp. 531-543, (2010)

[7]

Xu S.Y., Feng G., New results on H<sub>∞</sub> control of discrete singularly perturbed systems, Automatica, 45, 10, pp. 2339-2343, (2009)

[8]

Fridman E., Stability of linear descriptor systems with delay: A Lyapunov-based approach, Journal of Mathematical Analysis and Applications, 273, 1, pp. 24-44, (2002)

[9]

Fridman E., A Lyapunov-based approach to stability of descriptor systems with delay, Proceedings of the 40th IEEE Conference on Decision and Control, 3, pp. 2850-2855, (2001)

[10]

Fridman E., Shaked U., H<sub>∞</sub> control of linear state-delay descriptor systems: An LMI approach, Linear Algebra and Its Applications, 351-352, pp. 271-302, (2002)

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