Stability and stabilization of continuous-time singular hybrid systems

Automatica

Volumn 45, Issue 6, 2009, Pages 1504-1509

  Xia, Yuanqing ^a   Boukas, El Kebir ^b   Shi, Peng ^c,d   Zhang, Jinhui ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

^b ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

^c UNIVERSITY OF GLAMORGAN   (United Kingdom)

^d VICTORIA UNIVERSITY   (Australia)

Author keywords

Linear matrix inequality (LMI); Markovian jump systems; Singular systems; Stochastically stable

Indexed keywords

CONTINUOUS-TIME; LINEAR MATRIX INEQUALITY (LMI); MARKOVIAN JUMP SYSTEMS; MATRIX INEQUALITIES; NUMERICAL EXAMPLES; SINGULAR SYSTEMS; STATE FEEDBACK CONTROLLERS; STATE-FEEDBACK STABILIZATIONS; STOCHASTICALLY STABLE; SUFFICIENT AND NECESSARY CONDITIONS; THEORETICAL RESULTS;

CONTINUOUS TIME SYSTEMS; DELAY CONTROL SYSTEMS; ELECTRIC GROUNDING; FEEDBACK; FUZZY CONTROL; HYBRID COMPUTERS; HYBRID SYSTEMS; LINEAR CONTROL SYSTEMS; NONLINEAR CONTROL SYSTEMS; STABILIZATION; STATE FEEDBACK; SYSTEM STABILITY; UNCERTAIN SYSTEMS;

LINEAR MATRIX INEQUALITIES;

EID: 67349244709     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2009.02.008     Document Type: Article

References (27)

1. Boukas E.K. On robust stability of singular systems with random abrupt changes. Nonlinear Analysis 63 3 (2005) 301-310
2. Boukas E.K. Static output feedback control for stochastic hybrid systems: LMI approach. Automatica 42 1 (2006) 183-188
3. Boukas E.K. Stabilization of stochastic singular nonlinear hybrid systems. Nonlinear Analysis 64 2 (2006) 217-228
4. Boukas E.K. Control of singular systems with random abrupt changes. Communications and control engineering (2008), Springer
5. ∞ control of jump linear systems with time-delay. International Journal of Control 74 (2001) 329-340
6. Boukas E.K., and Shi P. Stochastic stability and guaranteed cost control of discrete-time uncertain systems with Markovian jumping parameters. International Journal of Robust Nonlinear Control 8 (1998) 1155-1167
7. Dai L. Singular control systems. Lectures notes in control and information sciences Vol. 118 (1989), Springer, New York
8. de Souza C.E. Robust stability and stabilization of uncertain discrete-time Markovian jump linear systems. IEEE Transactions on Automatic Control 51 5 (2006) 836-841
9. ∞ control of descriptor discrete-time Markovian jump systems. International Journal of Control 80 3 (2007) 374-385
10. Liu H., Sun F., and Boukas E.K. Robust control of uncertain discrete-time Markovian jump systems with actuator saturation. International Journal of Control 79 7 (2006) 805-812
11. Mahmoud M., Al-Sunni F., and Shi Y. Dissipativity results for linear singular time-delay systems. International Journal of Innovative Computing Information and Control 4 11 (2008) 2833-2846
12. ∞ control for descriptor systems: A matrix inequalities approach. Automatica 3 4 (1997) 669-673
13. ∞ control for Markovian jumping linear systems with parametric uncertainty. Journal of Optimization Theory and Applications 95 1 (1997) 75-99
14. Shi P., Boukas E.K., and Agarwal R.K. Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay. IEEE Transactions on Automatic Control 44 11 (1999) 2139-2144
15. Shi P., Xia Y., Liu G.P., and Rees D. On designing of sliding mode control for stochastic jump systems. IEEE Transactions on Automatic Control 51 1 (2006) 97-103
16. ∞ control of descriptor systems. In Proceedings of the 38th IEEE conference on decision and control (pp. 4092-4097)
17. ∞ output feedback control of singular systems with time delay. Control Theory and Applications 20 (2003) 323-328
18. ∞ state-feedback control for continuous-time descriptor systems with parameter uncertainties. Circuits Systems Signal Processing 24 4 (2005) 431-443
19. Xia Y., Zhang J., and Boukas E.K. Control for discrete singular hybrid systems. Automatica 44 (2008) 2635-2641
20. ∞ filtering for uncertain Markovian jump systems with mode-dependent time delays. IEEE Transactions on Automatic Control 48 5 (2003) 900-907
21. Xu S., and Lam J. Robust control and filtering of singular systems (2006), Springer, Berlin
22. ∞ filtering for singular systems. Systems & Control Letters 56 1 (2007) 48-57
23. ∞ filtering for singular systems. IEEE Transactions on Automatic Control 48 12 (2003) 2217-2222
24. Xu S., Song B., Lu J., and Lam J. Robust stability of uncertain discrete-time singular fuzzy systems. Fuzzy Sets and Systems 158 20 (2007) 2306-2316
25. ∞ controller design for uncertain descriptor systems with time-varying discrete and distributed delays. IEE Proceedings - Control Theory & Applications 152 6 (2005) 628-638
26. ∞ controllers for singular systems. IEEE Transactions on Circuits and Systems II 50 9 (2003) 615-626
27. Zhong X., Xing H., and Fujimoto K. Sliding mode variable structure control for uncertain stochastic systems. International Journal of Innovative Computing, Information and Control 3 2 (2007) 397-406