Exponential Stability for Continuous-Time Singular Systems With Multiple Time Delays

[+] Author and Article Information
Yeong-Jeu Sun

Department of Electrical Engineering, I-Shou University, Kaohsiung, Taiwan 840, R.O.C. e-mail: yjsun@isu.edu.tw

J. Dyn. Sys., Meas., Control 125(2), 262-264 (Jun 04, 2003) (3 pages) doi:10.1115/1.1569952 History: Received June 01, 2002; Revised January 01, 2003; Online June 04, 2003
Copyright © 2003 by ASME
Topics: Stability , Delays
Your Session has timed out. Please sign back in to continue.


Hale, J. K., 1977, Theory of Functional Differential Equations, Academic Press, New York.
Fite,  K. B., Speich,  J. E., and Goldfarb,  M., 2001, “Transparency and Stability Robustness in Two-Channel Bilateral Telemanipulation,” ASME J. Dyn. Syst., Meas., Control, 123, pp. 400–407.
Fridman,  E., Fridman,  L., and Shustin,  E., 2000, “Steady Modes in Relay Control Systems With Time Delay and Periodic Disturbances,” ASME J. Dyn. Syst., Meas., Control, 122, pp. 732–737.
Olgac,  N., and Sipahi,  R., 2002, “An Exact Method for the Stability Analysis of Time-Delayed Linear Time-Invariant (LTI) Systems,” IEEE Trans. Autom. Control, 47(5), pp. 793–797.
Park,  J. H., 2002, “Robust Nonfragile Decentralized Controller Design for Uncertain Large-Scale Interconnected Systems With Time-Delays,” ASME J. Dyn. Syst., Meas., Control, 124, pp. 332–336.
Sun,  Y. J., and Hsieh,  J. G., 1997, “Exponential Tracking Control for a Class of Uncertain Systems With Time-Varying Arguments and Deadzone Nonlinearities,” ASME J. Dyn. Syst., Meas., Control, 119, pp. 825–830.
Sun,  Y. J., Hsieh,  J. G., and Yang,  H. C., 1997, “On the Stability of Uncertain Systems With Multiple Time-Varying Delays,” IEEE Trans. Autom. Control, 42(1), pp. 101–105.
Sun,  Y. J., and Hsieh,  J. G., 1998, “On α-Stability Criteria of Nonlinear Systems With Multiple Time-Delays,” J. Franklin Inst., 335B(4), pp. 695–705.
Yan,  J. J., Tsai,  J. S. H., and Sheen,  I. E., 2001, “Stability Analysis of Large-Scale Time-Delay Systems via Evolutionary Programming Algorithm,” ASME J. Dyn. Syst., Meas., Control, 123, pp. 293–296.
Dai, L., 1989, Singular Control Systems: Lecture Notes in Control and Information Sciences, Springer-Verlag, Berlin.
Li,  Y., and Liu,  Y., 1999, “Bifurcation on Stability of Singular Systems With Delay,” Int. J. Syst. Sci., 30(6), pp. 643–649.
Lin,  C. L., 1999, “On the Stability of Uncertain Linear Descriptor Systems,” J. Franklin Inst., 336B(3), pp. 549–564.
Pan,  S. T., Chen,  C. F., and Hsieh,  J. G., 2002, “D-Stability for A Class of Discrete Descriptor Systems with Multiple Time Delays,” Control and Cybernetics, 31 , pp. 79–89.
Su,  T. J., and Shyr,  W. J., 1994, “Robust D-Stability for Linear Uncertain Discrete-Delay Systems,” IEEE Trans. Autom. Control, 39, pp. 425–428.
Wang, R., and Liu, Y., 2000, “Asymptotic Stability and Robustness for Discrete-Time Singular Systems With Multiple Time-Delays,” Proc. of 3rd World Congress on Intelligent Control and Automation, Hefei, pp. 3350–3353.
Wang, R., and Liu, Y., 2000, “Conditions for D-Stability of Discrete Singular Systems With Time-Delays,” Proc. of 3rd World Congress on Intelligent Control and Automation, Hefei, pp. 2824–2828.
Xu,  S., Lam,  J., and Zhang,  L., 2002, “Robust D-Stability Analysis for Uncertain Discrete Singular Systems With State Delay,” IEEE Trans. Autom. Control, 49(4), pp. 551–555.
Bronson, R., 1989, Matrix Operations: Schaum’s Outline Series, McGraw-Hill, New York.
Buchanan, J. L., and Turner, P. R., 1992, Numerical Methods and Analysis, McGraw-Hill, New York.




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In