On the stability of uncertain systems with multiple time-varying delays

IEEE Transactions on Automatic Control

Volumn 42, Issue 1, 1997, Pages 101-105

  Sun, Yeong Jeu ^a   Hsieh, Jer Guang ^b   Yang, Horng Chin ^b  

^a FORTUNE INSTITUTE OF TECHNOLOGY   (Taiwan)

^b NATIONAL SUN YAT SEN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; DELAY CONTROL SYSTEMS; MATHEMATICAL MODELS; STABILITY CRITERIA; TIME VARYING CONTROL SYSTEMS;

DELAY DEPENDENT CRITERIA; DELAY INDEPENDENT CRITERIA; MULTIPLE TIME VARYING DELAYS; UNCERTAIN SYSTEMS;

SYSTEM STABILITY;

EID: 0030785257     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.553692     Document Type: Article

References (15)

1. J. K. Hale, Theory of Functional Differential Equations. Berlin: Springer, 1977.
2. A. Hmamed, "Further results on the delay-independent asymptotic stability of linear systems," Int. J. Syst. Sci., vol. 22, pp. 1127-1132, 1991.
3. F. H. Hsiao, J. G. Hsieh, and M. S. Wu, "Determination of the tolerable sector of series nonlinearities in uncertain time-delay systems under dynamical output feedback," ASME J. Dynamic Syst., Measurement Contr., vol. 113, pp. 525-531, 1991.
4. E. W. Kamen, "Correction to 'Linear systems with commensurate time delays: Stability and stabilization independent of delay,'" IEEE Trans. Automat. Contr., vol. AC-28, pp. 243-249, 1983.
5. N. MacDonald, "Commentson a simplified analytical stability test for systems with delay," in IEE Proc. Contr. Theory Appl., 1985, vol. 132, pp. 237-238.
6. _, Biological Delay Systems: Linear Stability Theory. Cambridge: Cambridge Univ. Press, 1989.
7. M. S. Mahmoud and N. F. Al-Muthairi, "Quadratic stabilization of continuous time systems with state-delay and norm-bounded time-varying uncertainties," IEEE Trans. Automat. Contr., vol. 39, pp. 2135-2139, 1994.
8. ⊣(t) = AX(t) + BX(t - τ)," IEEE Trans. Automat. Contr., vol. 34, pp. 450-462, 1989.
9. G. M. Schoen and H. P. Geering, "Stability condition for a delay differential system," Int. J. Contr., vol. 58, pp. 247-252, 1993.
10. ⊣(t) = AX(t) + BX(t - τ)," Syst. Contr. Lett., vol. 19, pp. 165-168, 1992.
11. E. Cheres, Z. J. Palmor, and S. Gutman, "Quantitative measures of robustness for systems including delayed perturbations," IEEE Trans. Automat. Contr., vol. 34, pp. 1203-1204, 1989.
12. H. Trinh and M. Aldeen, "On the stability of linear systems with delayed perturbations," IEEE Trans. Automat. Contr., vol. 39, pp. 1948-1951, 1994.
13. B. Xu and Y. Liu, "An improved Razumikhin-type theorem and its applications," IEEE Trans. Automat. Contr., vol. 39, pp. 839-841, 1994.
14. R. K. Yedavalli and Z. Liang, "Reduced conservatism in stability robustness bounds by state transformation," IEEE Trans. Automat. Contr., vol. 31, pp. 863-866, 1986.
15. T. J. Su and C. G. Huang, "Robust stability of delay dependence for linear uncertain systems," IEEE Trans. Automat. Contr., vol. 37, pp. 1656-1659, 1992.