Adaptive control for time-delay markovian jump linear systems with state-dependant switching

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2009, Pages 3974-3979

  Dong, Yifan ^a   Kang, Yu ^a   Xi, Hongsheng ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DELAY CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; LINEAR SYSTEMS; MARKOV PROCESSES; ROBUSTNESS (CONTROL SYSTEMS); STATE FEEDBACK; SYSTEM STABILITY; TIME DELAY; TIMING CIRCUITS;

ADAPTIVE CONTROL; ADAPTIVE STATE FEEDBACK CONTROL; EXPONENTIAL MEAN-SQUARE STABILITY; GLOBALLY EXPONENTIAL STABILITY; MARKOVIAN JUMP LINEAR SYSTEMS; MEAN SQUARE; NON-LINEAR CONTROLLERS; STATE-DEPENDENT;

ADAPTIVE CONTROL SYSTEMS;

EID: 77950804802     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2009.5399559     Document Type: Conference Paper

References (20)

1. M. Mariton, Jump Linear Systems in Automatic Control, New York, Marcel Dekker, 1990.
2. E.K. Boukas, Stochastic Hybrid Systems: Analysis and Design, Birkhauser, Boston, 2005.
3. F. Xi and L. Zhao, "On the Stability of Diffusion Processes with State-Dependent Switching", Science in China Series A: Mathematics, Vol.49, pp. 1258-1274, 2006.
4. R.Z. Khasminskii, C. Zhu and G. Yin, "Stability of Regime-Switching Diffusions", Stochastic Process Appl., Vol.117, pp. 1037-1051, 2007.
5. P. Park, "A Delay-Dependent Stability Criterion for Systems with Uncertain Time-Invariant Delays", IEEE Trans. Automat. Contr., Vol.44, pp. 876-877, 1999.
6. Y.S. Moon, P. Park and W.H. Kwon, "Delay-Dependent Robust Stabilization of Uncertain State-Delayed Systems", Int. J. Cont., Vol.74, pp. 1447-1455, 2001.
7. E. Fridman and U. Shaked, "An Improved Stabilization Method for Linear Time-Delay Systems", IEEE Trans. Automat. Contr., Vol.47, pp. 1931-1937, 2002.
8. ∞ Control: Constant and Time-Varying Delays", Int. J. Cont., Vol.76, pp. 48-60, 2003.
9. M. Wu, Y. He, J. She and G. Liu, "Delay-Dependent Criteria for Robust Stability of Time-Varying Delay Systems", Automatica, Vol.40, pp. 1435-1439, 2004.
10. E.K. Boukas and Z.K. Liu, Deterministic and Stochastic Time-Delay Systems, New York, Springer-Verlag, 2002.
11. C. Yuan, J. Zou and X. Mao, "Stability in Distribution of Stochastic Differential Delay Equations with Markovian Switching", Systems & Control Letters, Vol.50, pp. 195-207, 2003.
12. C. Yuan and X. Mao, "Asymptotic Stability in Distribution of Stochastic Differential Equations with Markovian Switching", Stochastic Process Appl., Vol.103, pp. 277-291, 2003.
13. H.J. Kushner, Stochastic Stability and Control, New York: Academic Press, 1967.
14. A.V. Skorohod, Asymptotic Methods in the Theory of Stochastic Differential Equations, Amer. Math. Soc., Providence, RI, 1989.
15. Z. Shu, J. Lam and S. Xu, "Robust Stabilization of Markovian Delay Systems with Delay-Dependent Exponential Estimates", Automatica, Vol.42, pp. 2001-2008, 2006.
16. C. Zhu and G. Yin, "Asymptotic Properties of Hybrid Diffusion Systems", SIAM J. Control Optim., Vol.46, pp. 1155-1179, 2007.
17. X. Feng, K.A. Loparo, Y. Ji and H.J. Chizeck, "Stochastic Stability Properties of Jump Linear Systems", IEEE Trans. Automat. Contr., Vol.37, pp. 38-53, 1992.
18. ∞ Control of Systems with Parameter Uncertainty", Int. J. Cont., Vol.63, pp. 741-750, 1996.
19. ∞ Filtering for Uncertain Markovian Jump Systems with Mode-Dependent Time Delays", IEEE Trans. Automat. Contr., Vol.48, pp. 900-907, 2003.
20. ∞ Control of Uncertain Markovian Jump Systems with Time-Delay", IEEE Trans. Automat. Contr., Vol.45, pp. 77-83, 2000.