Stability of linear stochastic differential delay systems under impulsive control

IET Control Theory and Applications

Volumn 3, Issue 11, 2009, Pages 1547-1552

  Zhao, S W ^a   Sun, J T ^a   Wu, H J ^a  

^a TONGJI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL-DELAY SYSTEMS; IMPULSIVE CONTROLS;

DELAY CONTROL SYSTEMS; STABILITY CRITERIA; STOCHASTIC SYSTEMS; SYSTEM STABILITY;

CONTROL SYSTEM STABILITY;

EID: 70449458852     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2008.0406     Document Type: Article

References (24)

1. Hasminskii, R.Z.: ' Stochastic Stability of Differential Equations ', (Sijthoff and Noordhoff, Alphen and Rijn, 1981)
2. Øsendal, B.: ' Stochastic Differential Equations ', 4th edn. (Springer-Verlag, New York, 1995)
3. Park, P.: ' A delay-dependant stability criterion for systems with uncertain linear systems ', IEEE Tran. Autom. Control, 1999, 44, p. 876-877
4. Mao, X.: ' LaSalle-type theorems for stochastic differential delay equations ', J. Math. Anal. Appl., 1999, 369, p. 236-350 0022-247X
5. Boukas, E.K., Liu, Z.K., and Shi, P.: ' Delay-dependent stability and output feedback stabilisation of Markov jump system with time-delay ', IEE Proc. Control Theory Appl., 2002, 149, (5), p. 379-386 1350-2379
6. Yue, D., and Han, Q.-L.: ' Delay-dependent exponential stability of stochastic systems with time-varying delay, nonlinearity, and Markovian switching ', IEEE Trans. Autom. Control, 2005, 50, (2), p. 217-222 0018-9286
7. Niu, Y.G., Ho, D.W.C., and Lam, J.: ' Robust integral sliding mode control for uncertain stochastic systems with time-varying delay ', Automatica, 2005, 41, p. 873-880 0005-1098
8. Huang, H., and Ho, D.W.C.: ' Delay-dependent robust control of uncertain stochastic fuzzy systems with time-varying delay ', IEE Proc. Control Theory Appl., 2007, 1, (4), p. 1075-1085 1350-2379 (Pubitemid 46990265)
9. Mao, X., Lam, J., and Huang, L.: ' Stabilisation of hybrid stochastic differential equations by delay feedback control ', Syst. Control Lett., 2008, 57, p. 927-935 0167-6911
10. Wang, Z.D., Liu, Y.R., and Liu, X.H.: ' H (infinite) filtering for uncertain stochastic time-delay systems with sector-bounded nonlinearities ', Automatica, 2008, 44, p. 1268-1277 0005-1098
11. Yang, T.: ' Impulsive control ', IEEE Trans. Autom. Control, 1999, 44, p. 1081-1083 0018-9286
12. Li, Z.G., Wen, C.Y., and Soh, Y.C.: ' Analysis and desgin of impulsive control systems ', IEEE Trans. Autom. Control, 2001, 46, (6), p. 894-897 0018-9286
13. Sun, J.T., Zhang, Y.P., and Wu, Q.D.: ' Less conservative condition for asymptotic stability of impulsive control systems ', IEEE Trans. Autom. Control, 2003, 48, (5), p. 829-831 0018-9286
14. Xie, G.M., and Wang, L.: ' Necessary and sufficient conditions for controllability and observability of switched impulsive control systems ', IEEE Trans. Autom. Control, 2004, 49, (6), p. 960-966 0018-9286
15. Guan, Z.H., Hill, D.J., and Shen, X.M.: ' On hybrid impulsive and switching systems and application to nonlinear control ', IEEE Trans. Autom. Control, 2005, 50, (7), p. 1058-1062 0018-9286
16. Yan, J., and Zhao, A.: ' Oscillation and stability of linear impulsive delay differential equations ', J. Math. Anal. Appl., 1998, 227, p. 187-194 0022-247X (Pubitemid 128343445)
17. Guan, Z.H., Chen, G.R., Yu, X.H., and Qin, Y.: ' Robust decentralized stabilization for a class of large-scale time-delay uncertain impulsive dynamical systems ', Automatica, 2002, 38, (12), p. 2075-2084 0005-1098
18. Liu, X.: ' Stability of impulsive control systems with time delay ', Mathem. Comput. Model., 2004, 39, p. 511-519 (Pubitemid 38504045)
19. Khadra, A., Liu, X.Z., and Shen, X.: ' Impulsively synchronizing chaotic systems with delay and applications to secure communication ', Automatica, 2005, 41, p. 1491-1502 0005-1098
20. Su, T.-J., and Peng, H.-W.: ' Robust finite impulse response equalisation for time-delay communication channels: linear matrix inequality approach ', IET Control Theory Appl., 2007, 1, (1), p. 226-232
21. Yang, Z.C., and Xu, D.Y.: ' Stability analysis and design of impulsive control systems with time delay ', IEEE Trans. Autom. Control, 2007, 52, (8), p. 1448-1454 0018-9286
22. Wu, H.J., and Sun, J.T.: ' p-Moment stability of stochastic differential equations with impulsive jump and Markovian switching ', Automatica, 2006, 42, p. 1753-1759 0005-1098
23. Zhang, H., Guan, Z.-H., and Feng, G.: ' Reliable dissipative control for stochastic impulsive systems ', Automatica, 2008, 44, p. 1004-1010 0005-1098
24. Mao, X., Matasov, A., and Piunovskiy, A.B.: ' Stochastic differential delay equations with Markovian switching ', Bernoulli, 2000, 6, (1), p. 73-90