Delay-dependent H∞ filtering for singular Markovian jump time-delay systems

Signal Processing

Volumn 90, Issue 6, 2010, Pages 1815-1824

  Wu, Zhengguang ^a   Su, Hongye ^a   Chu, Jian ^a  

^a STATE KEY LABORATORY OF INDUSTRIAL CONTROL TECHNOLOGY   (China)

Author keywords

Delay dependent; H filtering; Linear matrix inequality (LMI); Markovian jumping parameters; Singular systems

Indexed keywords

BOUNDED REAL LEMMA; DELAY-DEPENDENT; FILTERING PROBLEMS; FREE-WEIGHTING MATRICES; LINEAR MATRIX INEQUALITY APPROACH; MARKOVIAN JUMPING PARAMETERS; MARKOVIAN JUMPS; MEAN-SQUARE; NUMERICAL EXAMPLE; PERFORMANCE INDICES; SINGULAR SYSTEM; TIME-DELAY SYSTEMS;

DELAY CONTROL SYSTEMS; TIME DELAY;

LINEAR MATRIX INEQUALITIES;

EID: 76749116604     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2009.11.029     Document Type: Article

References (51)

1. Boukas E.K., and Liu Z.K. Deterministic and Stochastic Time Delay Systems (2002), Birkhauser, Boston
2. ∞ control for discrete-time Markovian jump linear systems with partly unknown transition probabilities. International Journal of Robust and Nonlinear Control 19 (2009) 868-883
3. Boukas E.K., and Yang H. Exponential stabilizability of stochastic systems with Markovian jumping parameters. Automatica 35 (1999) 1437-1441
4. Boukas E.K. Stochastic Hybrid Systems: Analysis and Design (2005), Birkhauser, Boston
5. ∞ filtering for discrete-time Markovian jump systems with partly unknown transition probabilities. Signal Processing 90 (2010) 548-556
6. ∞ filtering for uncertain Markovian jump systems with mode-dependent time delays. IEEE Transactions on Automatic Control 48 (2003) 900-907
7. ∞ control and filtering for uncertain Markovian jump systems with time-varying delays. IEEE Transactions on Circuits and Systems-I: Regular paper 54 (2007) 2070-2077
8. Hu L., Shi P., and Cao Y. Delay-dependent filtering design for time-delay systems with Markovian jumping parameters. International Journal of Adaptive Control and Signal Processing 21 (2007) 434-448
9. ∞ filtering for Markovian jump systems with mode-dependent time delays. Signal Processing 89 (2009) 187-196
10. Shi P., Mahmoudb M., Nguang S.K., and Ismail A. Robust filtering for jumping systems with mode-dependent delays. Signal Processing 86 (2006) 140-152
11. ∞ filtering for stochastic delayed jumping systems with sensor non-linearities. International Journal of Control 80 (2007) 885-897
12. Chen T., and Francis B.A. Optimal Sampled-Data Control Systems (1995), Springer, New York
13. Dai L. Singular Control Systems (1989), Springer, Berlin
14. Lewis F.L. A survey of linear singular systems. Circuits, Systems and Signal Processing 22 (1986) 3-36
15. Boukas E.K. Control of Singular Systems with Random Abrupt Changes (2008), Springer, Berlin
16. Verghese G.C., Levy B.C., and Kailath T. A generalized state-space for singular systems. IEEE Transactions on Automatic Control 26 (1981) 811-831
17. Sun X., and Zhang Q. Delay-dependent robust stabilization for a class of uncertain singular delay systems. International Journal of Innovative Computing, Information and Control 5 (2009) 1231-1242
18. Haidar A., and Boukas E.K. Exponential stability of singular systems with multiple time-varying delays. Automatica 45 (2009) 539-545
19. Du Z., Zhang Q., and Liu L. Delay-dependent stabilization of uncertain singular systems with multiple state delays. International Journal of Innovative Computing, Information and Control 5 (2009) 1655-1664
20. Zhu S., Zhang C., Cheng Z., and Feng J. Delay-dependent robust stability criteria for two classes of uncertain singular time-delay systems. IEEE Transactions on Automatic Control 52 (2007) 880-885
21. Yao K., and Cai F. Robustness and reliability of decentralized stochastic singularly-perturbed computer controlled systems with multiple time-varying delays. ICIC Express Letters 3 (2009) 379-384
22. Qiu J., and Lu K. New robust passive stability criteria for uncertain singularly Markov jump systems with time delays. ICIC Express Letters 3 (2009) 651-656
23. Xu S., and Lam J. Robust Control and Filtering of Singular Systems (2006), Springer, Berlin
24. ∞ filter for singular systems. IEEE Transactions on Automatic Control 48 (2003) 2217-2222
25. ∞ filter for singular systems. Systems & Control Letters 56 (2007) 48-57
26. ∞ optimal singular and normal filter design for uncertain singular systems. IET Control Theory and Applications 1 (2007) 119-126
27. ∞ filtering of delayed singular systems with linear fractional parametric uncertainties. Circuits, Systems and Signal Processing 25 (2006) 627-647
28. ∞ filter design of uncertain descriptor systems with discrete and distributed delays. IEEE Transactions on Signal Processing 52 (2004) 3200-3212
29. ∞ control of linear state-delay descriptor systems: an LMI approach. Linear Algebra and its Applications 351-352 (2002) 271-302
30. ∞ filtering for uncertain discrete Markov jump singular systems with mode-dependent time delay. IET Control Theory and Applications 3 (2009) 351-361
31. ∞ filter design for uncertain time-delay singular stochastic systems with Markovian jump. Journal of Control Theory and Applications 5 (2007) 331-335
32. Wu M., He Y., She J., and Liu G. Delay-dependent criteria for robust stability of time-varying delay systems. Automatica 40 (2004) 1435-1439
33. He Y., Wu M., She J., and Liu G. Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays. Systems & Control Letters 51 (2004) 57-65
34. He Y., Wu M., and She J. Delay-dependent exponential stability for delayed neural networks with time-varying delay. IEEE Transactions on Circuits and Systems Part II: Express Briefs 53 (2006) 230-234
35. ∞ filter design for systems with time-varying interval delay. IEEE Transactions on Circuits and Systems Part II: Express Briefs 53 (2006)
36. ∞ filtering for discrete-time systems with time-varying delay. Signal Processing 89 (2009) 275-282
37. ∞ filtering for uncertain distributed delay systems. IEEE transactions on Signal Processing 53 (2005) 3764-3772
38. ∞ filtering for LPV systems with both discrete and distributed delays. IEE Proceedings Control Theory & Applications 153 (2006) 483-492
39. ∞ filtering for delay differential systems of neutral type. IET Control Theory and Applications 1 (2007) 749-755
40. ∞ filtering for a class of uncertain linear systems with time-varying delay. Automatica 44 (2008) 157-166
41. ∞ filtering of piecewise-linear systems with time-varying delays. IEEE Transactions on Circuits and Systems-I: Regular paper 55 (2008) 2087-2096
42. ∞ filter design for stochastic time-delay systems. Systems & Control Letters 56 (2007) 579-587
43. Xu S., and Lam J. On equivalence and efficiency of certain stability criteria for time-delay systems. IEEE Transactions on Automatic Control 52 (2007) 95-101
44. ∞ controller design for uncertain descriptor systems with time-varying discrete and distributed delays. IEE Proceedings-Control Theory & Applications 152 (2005) 628-638
45. ∞ control for singular Markovian jump systems with time delay. Optimal Control Application and Methods 30 (2009) 443-461
46. Boukas E.K., Xu S., and Lam J. On stability and stabilizability of singular stochastic systems with delays. Journal of Optimization Theory and Applications 127 (2005) 249-262
47. ∞ control of jump linear systems with time-delay. International Journal of Control 74 (2001) 329-340
48. Mao X., and Yuan C. Stochastic Differential Equations With Markovian Switching (2006), World Scientific Publishing Co. Inc., Singapore
49. Gu K., Kharitonov V.K., and Chen J. Stability of Time-Delay Systems (2003), Birkhauser, Boston
50. Mao X., Koroleva N., and Rodkina A. Robust stability of uncertain stochastic differential delay equations. Systems & Control Letters 35 (1998) 325-336
51. Boukas E.K., and Liu Z.K. Delay-dependent stabilization of singularly perturbed jump linear systems. International Journal of Control 77 (2004) 310-319