Robust stabilization of delayed Markovian jump systems subject to parametric uncertainties

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2007, Pages 3054-3059

  Chen, Wu Hua ^a   Zheng, Wei Xing ^b  

^a GUANGXI UNIVERSITY   (China)

^b UNIVERSITY OF WESTERN SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; NUMERICAL METHODS; PARAMETER ESTIMATION; PROBLEM SOLVING; UNCERTAINTY ANALYSIS;

MARKOVIAN JUMP SYSTEMS; ROBUST STABILIZATION; STOCHASTIC LYAPUNOV FUNCTIONAL;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 62749102608     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2007.4434107     Document Type: Conference Paper

References (13)

1. M. Mariton, Jump Linear Systems in Automatic Control. New York: Marcel Dekker, 1990.
2. ∞ approach to networked control," IEEE Transactions on Automatic Control, vol. 50, pp. 356-364, 2005.
3. ∞ control of uncertain Markovian jump systems with time-delay," IEEE Transactions on Automatic Control, vol. 45, pp. 77-83, 2000.
4. ∞ control of discrete-time Markovian jump linear systems with mode-dependent time-delays," IEEE Transactions on Automatic Control, vol. 46, pp. 1918-1924, 2001.
5. E. K. Boukas and Z. K. Liu, "Delay-dependent stabilization of singularly perturbed jump linear systems," International Journal of Control, vol. 77, pp. 310-319, 2004.
6. W.-H. Chen, J.-X. Xu, and Z.-H. Guan, "Guaranteed cost control for uncertain Markovian jump systems with mode-dependent time-delays," IEEE Transactions on Automatic Control, vol. 48, pp. 2270-2277, 2003.
7. ∞ control of uncertain discrete-time Markovian jump systems with mode-dependent time delays," Systems and Control Letters, vol. 52, pp. 361-376, 2004.
8. W.-H. Chen, Z.-H. Guan, and X. Lu, "Delay-dependent output feedback stabilization of Markovian jump system with time-delay," IEE Proceedings - Control Theory and Applications, vol. 151, pp. 561-566, 2004.
9. L. Xiao, A. Hassibi, and J. P. How, "Control with random communication delays via a discrete-time jump system approach," in Proc. 2000 American Control Conference, Chicago, IL, Jun. 2000, pp. 2199-2204.
10. E. Fridman, "New Lyapunov-Krasovskii functionals for stability of linear retard and neutral type systems," Systems and Control Letters, vol. 43, pp. 309-319, 2001.
11. Y. Wang, L. Xie, and C. E. De Souza, "Robust control of a class of uncertain nonlinear system," Systems and Control Letters, vol. 19, pp. 139-149, 1992.
12. Z. Wang, J. Lam, and X. Liu, "Robust filtering for discrete-time Markovian jump delay systems," IEEE Signal Processing Letters, vol. 11, no. 8, pp. 659-662, Aug. 2004.
13. Z. Wang, J. Lam, and X. Liu, "Exponential filtering for uncertain Markovian jump time-delay systems with nonlinear disturbances," IEEE Transactions on Circuits and Systems-II, vol. 51, no. 5, pp. 262-268, May 2004.