Robust H-infinity filter design for uncertain time-delay singular stochastic systems with Markovian jump

Journal of Control Theory and Applications

Volumn 5, Issue 4, 2007, Pages 331-335

  Jianwei, Xia ^a  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Linear matrix inequality; Markovian jump; Robust H infinity filter; Singular stochastic systems; Time delay

Indexed keywords

EID: 38349180521     PISSN: 16726340     EISSN: 10008152     Source Type: Journal    
DOI: 10.1007/s11768-006-6201-1     Document Type: Article

References (10)

1. ∞ filter design for uncertain linear systems with multiple time-varying state delays[J]. IEEE Transactions on Signal Processing, 2001, 49(3): 569-576.
2. X. Mao. Robustness of exponential stability of stochastic differential delay equations[J]. IEEE Transactions on Automatic Control, 1996, 41(3): 442-447.
3. ∞ control for uncertain stochastic systems with state delay[J]. IEEE Transactions on Automatic Control, 2002, 47(12): 2089-2094.
4. ∞ filtering for uncertain stochastic timedelay systems[J]. Asian Journal of Control, 2003, 5(3): 364-373.
5. L. Dai. Singular Control Systems[M]. Berlin: Springer-Verlag, 1989.
6. S. Xu, C. Yang. An algebraic approach to the robust stability analysis and robust stabilization of uncertain singular systems[J]. International Journal of Systems Science, 2000, 31(1): 55-61.
7. S. Zhou, L. Jame. Robust stabilization of delayed singular systems with linear fractional parametric uncertainties[J]. Circuits Systems Signal Processing, 2004, 22(6): 579-588.
8. J. Xia. Robust control and filter for continuous stochastic time-delay systems[D]. Nanjing: Nanjing University of Science and Technology, 2007.
9. T. Boullion. Generalized Inverse Matrices[M]. New York: Wiley, 1971.
10. X. Mao. Exponential stability of stochastic delay interval systems with Markovian switching[J]. IEEE Transactions on Automatic Control, 2002, 47(12): 1604-1612.