Robust stabilization of Markovian delay systems with delay-dependent exponential estimates

Automatica

Volumn 42, Issue 11, 2006, Pages 2001-2008

  Shu, Zhan ^a   Lam, James ^a   Xu, Shengyuan ^b  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Exponential estimates; Linear matrix inequalities (LMIs); Markovian jumping systems; Robust stabilization; Time delay systems; Uncertain systems

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; MARKOV PROCESSES; MATHEMATICAL MODELS; PARAMETER ESTIMATION;

EXPONENTIAL ESTIMATES; LINEAR MATRIX INEQUALITIES (LMIS); MARKOVIAN JUMPING SYSTEMS; ROBUST STABILIZATION; TIME-DELAY SYSTEMS;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 33748924329     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2006.06.016     Document Type: Article

References (19)

1. Boukas E.K., Liu Z.K., and Shi P. Delay-dependent stability and output feedback stabilisation of Markov jump system with time-delay. IEE Proceedings-Control Theory and Applications 149 5 (2002) 379-386
2. Boyd S., El Ghaoui L., Feron E., and Balakrishnan V. Linear matrix inequalities in system and control theory (1994), Society for Industrial and Applied Mathematics, Philadelphia
3. ∞ control of uncertain Markovian jump systems with time-delay. IEEE Transactions on Automatic Control 45 1 (2000) 77-83
4. ∞ control of uncertain linear state-delayed systems. Automatica 35 7 (1999) 1313-1321
5. ∞ control via output feedback for state delayed systems. International Journal of Control 64 1 (1996) 1-7
6. Hale J.K. Theory of functional differential equations (1977), Springer, New York
7. Kushner H.J. Stochastic stability and control (1967), Academic Press, New York
8. ∞ control for uncertain systems with a state-delay. Automatica 40 1 (2004) 65-72
9. Mahmoud M.S., and Shi P. Methodologies for control of jump time-delay systems (2003), Kluwer Academic Publishers, Boston
10. Mao X. Exponential stability of stochastic delay interval systems with Markovian switching. IEEE Transactions on Automatic Control 47 10 (2002) 1604-1612
11. Mao X., Matasov A., and Piunovskiy A.B. Stochastic differential delay equations with Markovian switching. Bernoulli 6 1 (2000) 73-90
12. Mariton M. Jump linear systems in automatic control (1990), Marcel Dekker, New York
13. Petersen I.R. A stabilization algorithm for a class of uncertain linear systems. Systems Control Letters 8 4 (1987) 351-357
14. Skorokhod A.V. Asymptotic methods in the theory of stochastic differential equations (1989), American Mathematical Society, Providence, RI
15. Wang Z., Lam J., and Liu X. Exponential filtering for uncertain Markovian jump time-delay systems with nonlinear disturbances. IEEE Transactions on Circuits and Systems II: Express Briefs 51 5 (2004) 262-268
16. Wang Y., Xie L., and de Souza C.E. Robust control of a class of uncertain nonlinear systems. Systems Control Letters 19 2 (1992) 139-149
17. ∞ control of distributed delay systems with application to combustion control. IEEE Transactions on Automatic Control 46 12 (2001) 1930-1935
18. Xu S., and Lam J. Improved delay-dependent stability criteria for time-delay systems. IEEE Transactions on Automatic Control 50 3 (2005) 384-387
19. ∞ filtering for uncertain Markovian jump systems with mode-dependent time delays. IEEE Transactions on Automatic Control 48 5 (2003) 900-907