Robustness of exponential stability of stochastic differential delay equations

IEEE Transactions on Automatic Control

Volumn 41, Issue 3, 1996, Pages 442-447

  Mao, X ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; LINEAR CONTROL SYSTEMS; NONLINEAR CONTROL SYSTEMS; PERTURBATION TECHNIQUES; RANDOM PROCESSES; ROBUSTNESS (CONTROL SYSTEMS);

EXPONENTIAL STABILITY; STOCHASTIC DIFFERENTIAL DELAY EQUATIONS; UNCERTAINTY;

SYSTEM STABILITY;

EID: 0030107717     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.486647     Document Type: Article

References (12)

1. J. K. Hale, Theory of Functional Differential Equations. New York: Springer-Verlag, 1977.
2. V. B. Kolmanovskii, "On the stability of stochastic systems with delay," Problems Inform, Transmission, vol. 5, no. 4, pp. 59-67, 1969.
3. V. B. Kolmanovskii and V. R. Nosov, Stability and Periodic Modes of Control Systems with Aftereffect. Moscow: Nauka, 1981.
4. _, Stability of Functional Differential Equations. Academic, 1986.
5. H. J. Kushner, "On the stability of processes defined by stochastic difference-differential equations," J. Differential Equations, vol. 4, pp. 424-443, 1968.
6. X. Mao, Exponential Stability of Stochastic Differential Equations. New York: Marcel Dekker, 1994.
7. S.-E. A. Mohammed, Stochastic Functional Differential Equations. Longman, 1986.
8. T. Mori, "Criteria for asymptotic stability of linear time-delay systems," IEEE Trans. Automat. Contr., vol. AC-30, pp. 185-161, 1985.
9. T. Mori and H. Kokame, "Stability of ẋ(t) = Ax(t) + Bx(t - τ)," IEEE Trans. Automat. Contr., vol. 34, pp. 460-462, 1989.
10. J.-H. Su, "Further results on the robust stability of linear systems with a single time delay," Syst Contr. Lett., vol. 23, pp. 375-379, 1994.
11. J.-H. Su, I.-K. Fong, and C.-L. Tseng, "Stability analysis of linear systems with time delay," IEEE Trans. Automat. Contr., vol. 39, pp. 1341-1344, 1994.
12. C.-L. Tseng, I.-K. Fong, and J. H. Su, "Robust stability analysis for uncertain delay systems with output feedback controller," Syst. Contr. Lett., vol. 23, pp. 271-278, 1994.