The Problem of Absolute Stability of a Class of Lurie Switched Time-Delay Systems

Article Preview

Abstract:

The absolute stability problem of Lurie time-delays switched systems is investigated. All the subsystems are Lurie systems. Lyapunov functions is used to derive the sufficient conditions for the absolute stability of systems

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 433-440)

Pages:

2641-2644

Citation:

Online since:

January 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Zhao S Z, zhao J. Quadratic stability of switched nonlinear systems in block-triangular form[J]. Acta Automatic Sinica, 2005, vol31(4)pp: 631-633.

Google Scholar

[2] Mancilla-Aguilar J L. A condition for the stability of switched nonlinear systems[J]. IEEE Trans on Automatic Control, 2000,vol. 45(11)pp:2077-(2079).

DOI: 10.1109/9.887629

Google Scholar

[3] Xie W X, Wen C Y, Li Z G. input-to-state stabilization of switched nonlinear systems[J]. IEEE Trans on Automatic Control, 2001, vol. 46(7)pp:1111-1116.

DOI: 10.1109/9.935066

Google Scholar

[4] Zhang L J, Liu S, Lan H. On stability of switched homogeneous nonlinear systems[J]. Mathematical Analysis and Applycations, 2007, vol334. pp: 414-430.

Google Scholar

[5] Margaliot M, Liberzon D. Lie-algebraic stability conditions for nonlinear switched systems and differential inclusions[J]. Systems and Control. Letters, 2006, vol55(5)pp: 8-16.

DOI: 10.1016/j.sysconle.2005.04.011

Google Scholar

[6] El_Farral N H, Mhaskar P, Christofides P D. Output feedback control of switched nonlinear systems using multiple Lyapunov functions[J]. Systems and Control Letters, 2005, vol54(5)pp: 1163-1182.

DOI: 10.1016/j.sysconle.2005.04.005

Google Scholar

[7] Lu Z Q, Su H Y, ChU J. New absolute stability and stabilizations conditions for a class of Lurie uncertain time-delay systems. [J]. Journal of Zhejiang university, 2004, vol38(2)pp: 130-134.

Google Scholar

[8] Zhao J, Dimirovski G M. Quadratic stability of A class of switched nonlinear systems [J]. IEEE Trans on Automatic Control, 2004, vol49(4)pp: 574-578.

DOI: 10.1109/tac.2004.825611

Google Scholar