Robust stabilization and H ∞ control for discrete-time stochastic genetic regulatory networks with time delays

Canadian Journal of Physics

Volumn 90, Issue 10, 2012, Pages 939-953

  Mathiyalagan, K ^a   Sakthivel, R ^b  

^a ANNA UNIVERSITY   (India)

^b Sungkyunkwan University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTICALLY STABLE; CONTROL DESIGN; CONTROL SCHEMES; DISTURBANCE ATTENUATION LEVELS; EQUILIBRIUM POINT; GENE NETWORK MODELS; GENETIC REGULATORY NETWORKS; INTERVAL TIME-VARYING DELAYS; LINEAR MATRIX INEQUALITY (LMIS); LMI TOOLBOXES; LOWER BOUNDS; LYAPUNOV-KRASOVSKII FUNCTIONALS; MEAN-SQUARE; NORM BOUNDED PARAMETER UNCERTAINTY; ROBUST STABILIZATION; STOCHASTIC NOISE; TIME VARYING; TIME-VARYING DELAY; UPPER BOUND;

GENES; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; ROBUSTNESS (CONTROL SYSTEMS); STABILIZATION; STATE FEEDBACK; STOCHASTIC SYSTEMS; TIME VARYING CONTROL SYSTEMS;

CONTROLLERS;

EID: 84866616355     PISSN: 00084204     EISSN: None     Source Type: Journal    
DOI: 10.1139/p2012-088     Document Type: Article

References (39)

1. Pan W. Wang Z. Gao H. Li Y. Du M. Math. Biosci. 228, 100 (2010). 10.1016/j.mbs.2010.08.012 20816865
2. Ren F. Cao J. Neurocomputing, 71, 834 (2008). 10.1016/j.neucom.2007.03. 011
3. Rakkiyappan R. Balasubramaniam P. Nonlinear Anal. Hybrid Syst. 4, 600 (2010). 10.1016/j.nahs.2010.03.007
4. Li C. Chen L. Aihara K. IEEE Trans. Circuits Syst. Regul. Pap. 53, 2451 (2006). 10.1109/TCSI.2006.883882
5. Lou X. Ye Q. Cui B. Neurocomputing, 73, 759 (2010). 10.1016/j.neucom. 2009.10.006
6. Meng Q. Jiang H. Neurocomputing, 74, 362 (2010). 10.1016/j.neucom.2010. 03.029
7. Wu H. Liao X. Feng W. Guo S. Zhang W. Inf. Sci. 180, 3532 (2010). 10.1016/j.ins.2010.05.032
8. Wang Z. Liao X. Guo S. Liu G. IET Control Theory Appl. 4, 2018 (2010). 10.1049/iet-cta.2010.0004
9. Zhang W. Fang J. Tang Y. Appl. Math. Comput. 217, 7210 (2011). 10.1016/j.amc.2011.02.010
10. Zhang W. Fang J. Tang Y. Neurocomputing, 74, 2344 (2011). 10.1016/j.neucom.2011.03.011
11. Zhang D. Yu L. Commun. Nonlinear Sci. Numer. Simul. 16, 2985 (2011). 10.1016/j.cnsns.2010.12.006
12. Mathiyalagan K. Sakthivel R. Marshal Anthoni S. Can. J. Phys. 90, 107 (2012). 10.1139/p11-147
13. Pan W. Wang Z. Gao H. Li Y. Du M. Int. J. Robust. Nonlinear Control, 20, 2093 (2010). 10.1002/rnc.1571
14. Tian T. Burrage K. Burrage P.M. Carletti M. J. Comput. Appl. Math. 205, 696 (2007). 10.1016/j.cam.2006.02.063
15. Mousavi S.M. Majd V.J. Neurocomputing, 74, 2123 (2011). 10.1016/j.neucom.2011.01.018
16. Sakthivel R. Raja R. Marshal Anthoni S. Phys. Scr. 82, 055009 (2010). 10.1088/0031-8949/82/05/055009
17. Balasubramaniam P. Rakkiyappan R. Krishnasamy R. Math. Biosci. 226, 97 (2010). 10.1016/j.mbs.2010.04.002 20430039
18. Balasubramaniam P. Sathy R. Rakkiyappan R. Fuzzy Sets Syst. 164, 82 (2011). 10.1016/j.fss.2010.10.010
19. Li Y. Zhu Y. Zeng N. Du M. Neurocomputing, 74, 3235 (2011). 10.1016/j.neucom.2011.05.008
20. Ji D.H. Koo J.H. Won S.C. Lee S.M. Park J.H. Appl. Math. Comput. 217, 6168 (2011). 10.1016/j.amc.2010.12.100
21. Liu Z. Shih S.C. Wang Q. IEEE Trans. Syst. Man Cybern.-Part A, 39, 426 (2009).
22. Phat V.N. Trinh H. IEEE Trans. Neural Netw. 21, 1180 (2010). 10.1109/TNN.2010.2049118 20550986
23. Mathiyalagan K. Sakthivel R. Marshal Anthoni S. Phys. Scr. 84, 015007 (2011). 10.1088/0031-8949/84/01/015007
24. Park J.H. Ji D.H. Won S.C. Lee S.M. Mod. Phys. Lett. B, 23, 1157 (2009). 10.1142/S021798490901934X
25. Park J.H. Ji D.H. Won S.C. Lee S.M. Choi S.J. Phys. Lett. A, 373, 3734 (2009). 10.1016/j.physleta.2009.08.018
26. Phat V.N. Int. J. Control, 82, 1889 (2009). 10.1080/00207170902803008
27. Wang Z. Ho D.W.C. Liu Y. Liu X. Automatica, 45, 684 (2009). 10.1016/j.automatica.2008.10.025
28. Wang Z. Huang L. Yang X. Appl. Math. Model. 35, 1983 (2011). 10.1016/j.apm.2010.11.010
29. Ahn C.K. Nonlinear Dyn. 60, 703 (2010). 10.1007/s11071-009-9625-6
30. Liu M. Neurocomputing, 71, 3469 (2008). 10.1016/j.neucom.2007.10.015
31. Lee W.P. Yang K.C. Neurocomputing, 71, 600 (2008). 10.1016/j.neucom.2007. 07.023
32. Su L. Liu G. Yang Y. J. Jilin Univ. (Sci. Ed.), 48, 284 (2010).
33. Cao J. Ren F. IEEE Trans. Neural Netw. 19, 520 (2008). 10.1109/TNN.2007.911748 18334369
34. Coutinho R. Fernandez B. Lima R. Meyroneinc A. J. Math. Biol. 52, 524 (2006). 10.1007/s00285-005-0359-x 16521027
35. Ma Q. Xu S. Zou Y. Lu J. Nonlinear Anal. Real World Appl. 12, 2586 (2011). 10.1016/j.nonrwa.2011.03.008
36. de Jong H. J. Comput. Biol. 9, 67 (2002). 10.1089/10665270252833208 11911796
37. B. Boyd, L.E. Ghoui, E. Feron, and V. Balakrishnan. Linear matrix inequalities in system and control theory, SIAM, Philadelphia, Penn., USA. 1994.
38. Zhang Y. Xu S. Zeng Z. Neurocomputing, 72, 3343 (2009). 10.1016/j.neucom.2009.01.014
39. Yu W. Lu J. Wang Z.D. Cao J. Zhou Q. IET Control Theory Appl. 4, 1687 (2010). 10.1049/iet-cta.2010.0003