An LMI-based approach for robust stabilization of uncertain stochastic systems with time-varying delays

IEEE Transactions on Automatic Control

Volumn 48, Issue 2, 2003, Pages 286-289

  Lu, Chien Yu ^a   Tsai, Jason Sheng Hong ^a   Jong, Gwo Jia ^b   Su, Te Jen ^b  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

^b NATIONAL KAOHSIUNG UNIVERSITY OF APPLIED SCIENCES   (Taiwan)

Author keywords

Linear matrix inequalities (LMIs); Stochastic stability; Time delay; Uncertainty

Indexed keywords

BROWNIAN MOVEMENT; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; ROBUSTNESS (CONTROL SYSTEMS); STOCHASTIC CONTROL SYSTEMS; UNCERTAIN SYSTEMS;

DIFFERENTIAL DELAY SYSTEMS;

TIME VARYING CONTROL SYSTEMS;

EID: 0037292143     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2002.808482     Document Type: Article

References (12)

1. X. Li and C. E. de Souza, "Delay-dependent robust stability and stabilization of uncertain linear delay systems: A linear matrix inequality approach," IEEE. Trans. Automat. Contr., vol. 42, pp. 1144-1148, Aug. 1997.
2. Y. Y. Cao, Y. X. Sun, and C. Cheng, "Delay-dependent robust stabilization of uncertain systems with multiple state delays," IEEE Trans. Automat. Contr., vol. 43, pp. 1608-1612, Nov. 1998.
3. 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, Oct. 1992.
4. L. Dugard and E. I. Verriest, Stability and Control of Time-Delay Systems. New York: Springer-Verlag, 1997.
5. U. G. Haussman, "Asymptotic stability of the linear Itǒ equation in infinite dimensions," J. Math. Ann. Appl., vol. 65, pp. 219-235, 1978.
6. A. Ichikawa, "Stability of semilinear stochastic evolution equations," J. Math. Ann. Appl., vol. 90, pp. 12-44, 1982.
7. E. I. Verriest and P. Florchinger, "Stability of stochastic systems with uncertain time delays," Syst. Control Lett., vol. 24, pp. 41-47, 1995.
8. X. Mao, N. Koroleva, and A. Rodkina, "Robust stability of uncertain stochastic differential delay equations," Syst. Control Lett., vol. 35, pp. 325-336, 1998.
9. S. Boyd, L. Ei Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994.
10. R. Z. Khasminskii, Stochastic Stability of Differential Equations. Amsterdam, The Netherlands: Sijthoffand Noordhoff, 1980.
11. Z. Brzezniak and T. Zastawniak, Basic Stochastic Processes. New York: Springer-Verlag, 1999.
12. V. Kolmanovskii, Introduction to the Theory and Applications of Functional Differential Equations. Norwell, MA: Kluwer, 1999.