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Volumn 21, Issue 15, 2011, Pages 1759-1777

Sampled-data H∞ filtering for stochastic genetic regulatory networks

Author keywords

gene expression levels; genetic regulatory networks; H filtering; sampled data systems; stochastic disturbances

Indexed keywords

EXPONENTIAL MEAN-SQUARE STABILITY; EXPRESSION LEVELS; FILTERING ERROR; FILTERING PROBLEMS; FILTERING SCHEMES; FINITE ENERGY; GENE EXPRESSION LEVELS; GENETIC NETWORKS; GENETIC REGULATORY NETWORKS; INTRINSIC NOISE; LYAPUNOV FUNCTIONALS; MATRIX INEQUALITY; SAMPLED DATA SYSTEMS; SAMPLED-DATA; SIMULATION EXAMPLE; STOCHASTIC DISTURBANCES; SUFFICIENT CONDITIONS; SYSTEM COMPLEXITY; TIME-VARYING DELAY;

EID: 80053184635     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.1703     Document Type: Article
Times cited : (60)

References (33)
  • 1
    • 85032751721 scopus 로고    scopus 로고
    • A systems biology perspective on signal processing in genetic network motifs
    • DOI 10.1109/MSP.2007.323279, Signal Processing for Sound Synthesis
    • Li C, Chen L, Aihara K,. A systems biology perspective on signal processing in genetic network motifs. IEEE Signal Processing Magazine 2007; 24 (2): 136-147. (Pubitemid 46534538)
    • (2007) IEEE Signal Processing Magazine , vol.24 , Issue.2 , pp. 136-147
    • Li, C.1    Chen, L.2    Aihara, K.3
  • 3
    • 34548411782 scopus 로고    scopus 로고
    • Stability of genetic networks with SUM regulatory logic: Lur'e system and LMI approach
    • DOI 10.1109/TCSI.2006.883882
    • Li C, Chen L, Aihara K,. Stability of genetic networks with SUM regulatory logic: Lur'e system and LMI approach. IEEE Transactions on Circuits and Systems-I: Regular Papers 2006; 53 (11): 2451-2458. (Pubitemid 44824324)
    • (2006) IEEE Transactions on Circuits and Systems I: Regular Papers , vol.53 , Issue.11 , pp. 2451-2458
    • Li, C.1    Chen, L.2    Aihara, K.3
  • 4
    • 36248945085 scopus 로고    scopus 로고
    • Stochastic stability of genetic networks with disturbance attenuation
    • DOI 10.1109/TCSII.2007.901631
    • Li C, Chen L, Aihara K,. Stochastic stability of genetic networks with disturbance attenuation. IEEE Transactions on Circuits and Systems-II: Express Briefs 2007; 54 (10): 892-896. (Pubitemid 350123797)
    • (2007) IEEE Transactions on Circuits and Systems II: Express Briefs , vol.54 , Issue.10 , pp. 892-896
    • Li, C.1    Chen, L.2    Aihara, K.3
  • 5
    • 45249111142 scopus 로고    scopus 로고
    • On delayed genetic regulatory networks with polytopic uncertainties: Robust stability analysis
    • DOI 10.1109/TNB.2008.2000746, 8
    • Wang Z, Gao H, Cao J, Liu X,. On delayed genetic regulatory networks with polytopic uncertainties: robust stability analysis. IEEE Transactions on NanoBioscience 2008; 7 (2): 154-163. (Pubitemid 351835963)
    • (2008) IEEE Transactions on Nanobioscience , vol.7 , Issue.2 , pp. 154-163
    • Wang, Z.1    Gao, H.2    Cao, J.3    Liu, X.4
  • 6
    • 50049106427 scopus 로고    scopus 로고
    • Stability analysis of uncertain genetic sum regulatory networks
    • Chesi G, Hung YS,. Stability analysis of uncertain genetic sum regulatory networks. Automatica 2008; 44 (9): 2298-2305.
    • (2008) Automatica , vol.44 , Issue.9 , pp. 2298-2305
    • Chesi, G.1    Hung, Y.S.2
  • 7
    • 77649256414 scopus 로고    scopus 로고
    • Polynomial relaxation-based conditions for global asymptotic stability of equilibrium points of genetic regulatory networks
    • Chesi G,. Polynomial relaxation-based conditions for global asymptotic stability of equilibrium points of genetic regulatory networks. International Journal of Systems Science 2010; 41 (1): 65-72.
    • (2010) International Journal of Systems Science , vol.41 , Issue.1 , pp. 65-72
    • Chesi, G.1
  • 8
    • 70450186430 scopus 로고    scopus 로고
    • Computing equilibrium points of genetic regulatory networks
    • Lecture Notes in Bioinformatics, 5750. Springer: Berlin, Heidelberg.
    • Chesi G,. Computing equilibrium points of genetic regulatory networks. Transactions on Computational Systems Biology XI. Lecture Notes in Bioinformatics, vol. 5750. Springer: Berlin, Heidelberg, 2009; 268-282.
    • (2009) Transactions on Computational Systems Biology XI , pp. 268-282
    • Chesi, G.1
  • 9
    • 71449126888 scopus 로고    scopus 로고
    • Structure-based determination of equilibrium points of genetic regulatory networks described by differential equation models
    • 27-29 August
    • Chesi G,. Structure-based determination of equilibrium points of genetic regulatory networks described by differential equation models. Proceedings of the Seventh Asian Control Conference, Hong Kong, vols. 1-3, 27-29 August 2009; 1363-1368.
    • (2009) Proceedings of the Seventh Asian Control Conference, Hong Kong , vol.1-3 , pp. 1363-1368
    • Chesi, G.1
  • 10
    • 77949773421 scopus 로고    scopus 로고
    • On the transient and steady-state estimates of interval genetic regulatory networks
    • Li P, Lam J, Shu Z,. On the transient and steady-state estimates of interval genetic regulatory networks. IEEE Transactions on Systems, Man and Cybernetics-Part B 2010; 40 (2): 336-349.
    • (2010) IEEE Transactions on Systems, Man and Cybernetics-Part B , vol.40 , Issue.2 , pp. 336-349
    • Li, P.1    Lam, J.2    Shu, Z.3
  • 11
    • 18444389980 scopus 로고    scopus 로고
    • Synchronizing genetic oscillators by signaling molecules
    • DOI 10.1177/0748730405275653
    • Wang R, Chen L,. Synchronizing genetic oscillators by signaling molecules. Journal of Biological Rhythms 2005; 20 (3): 257-269. (Pubitemid 40646946)
    • (2005) Journal of Biological Rhythms , vol.20 , Issue.3 , pp. 257-269
    • Wang, R.1    Chen, L.2
  • 12
    • 27144507311 scopus 로고    scopus 로고
    • A mechanism of synchronization in interacting multi-cell genetic systems
    • DOI 10.1016/j.physd.2005.08.008, PII S0167278905003489
    • Zhou T, Chen L, Wang R,. A mechanism of synchronization in interacting multi-cell genetic systems. Physica D-Nonlinear Phenomena 2005; 211 (1-2): 107-127. (Pubitemid 41491780)
    • (2005) Physica D: Nonlinear Phenomena , vol.211 , Issue.1-2 , pp. 107-127
    • Zhou, T.1    Chen, L.2    Wang, R.3
  • 13
    • 56549098591 scopus 로고    scopus 로고
    • Filtering for nonlinear genetic regulatory networks with stochastic disturbances
    • Wang Z, Lam J, Wei G, Fraser K, Liu X,. Filtering for nonlinear genetic regulatory networks with stochastic disturbances. IEEE Transactions on Automatic Control 2008; 53 (10): 2448-2457.
    • (2008) IEEE Transactions on Automatic Control , vol.53 , Issue.10 , pp. 2448-2457
    • Wang, Z.1    Lam, J.2    Wei, G.3    Fraser, K.4    Liu, X.5
  • 14
    • 67650682711 scopus 로고    scopus 로고
    • Robust filtering for stochastic genetic regulatory networks with time-varying delay
    • Wei G, Wang Z, Lam J, Fraser K, Rao GP, Liu X,. Robust filtering for stochastic genetic regulatory networks with time-varying delay. Mathematical Biosciences 2009; 220 (2): 73-80.
    • (2009) Mathematical Biosciences , vol.220 , Issue.2 , pp. 73-80
    • Wei, G.1    Wang, Z.2    Lam, J.3    Fraser, K.4    Rao, G.P.5    Liu, X.6
  • 15
    • 77649240657 scopus 로고    scopus 로고
    • Robust state estimation for stochastic genetic regulatory networks
    • Liang J, Lam J,. Robust state estimation for stochastic genetic regulatory networks. International Journal of Systems Science 2010; 41 (1): 47-63.
    • (2010) International Journal of Systems Science , vol.41 , Issue.1 , pp. 47-63
    • Liang, J.1    Lam, J.2
  • 16
    • 71249161518 scopus 로고    scopus 로고
    • State estimation for Markov-type genetic regulatory networks with delays and uncertain mode transition rates
    • Liang J, Lam J, Wang Z,. State estimation for Markov-type genetic regulatory networks with delays and uncertain mode transition rates. Physics Letters A 2009; 373 (47): 4328-4337.
    • (2009) Physics Letters A , vol.373 , Issue.47 , pp. 4328-4337
    • Liang, J.1    Lam, J.2    Wang, Z.3
  • 18
    • 67349162626 scopus 로고    scopus 로고
    • Estimating uncertain delayed genetic regulatory networks: An adaptive filtering approach
    • Yu W, Lü L, Chen G, Duan Z, Zhou Q,. Estimating uncertain delayed genetic regulatory networks: an adaptive filtering approach. IEEE Transactions on Automatic Control 2009; 54 (4): 892-897.
    • (2009) IEEE Transactions on Automatic Control , vol.54 , Issue.4 , pp. 892-897
    • Yu, W.1    Lü, L.2    Chen, G.3    Duan, Z.4    Zhou, Q.5
  • 19
    • 46649107949 scopus 로고    scopus 로고
    • Inference of noisy nonlinear differential equation models for gene regulatory networks using genetic programming and Kalman filtering
    • Qian L, Wang H, Dougherty E,. Inference of noisy nonlinear differential equation models for gene regulatory networks using genetic programming and Kalman filtering. IEEE Transactions on Signal Processing 2008; 56 (7): 3327-3339.
    • (2008) IEEE Transactions on Signal Processing , vol.56 , Issue.7 , pp. 3327-3339
    • Qian, L.1    Wang, H.2    Dougherty, E.3
  • 21
    • 0025533887 scopus 로고
    • New approach to sampled-data control systems-A function space method
    • Yamamoto Y,. New approach to sampled-data control systems-a function space method. Proceedings of IEEE Conference on Decision and Control, Honolulu, HW, 1990; 1882-1887. (Pubitemid 21691190)
    • (1990) Proceedings of the IEEE Conference on Decision and Control , vol.3 , pp. 1882-1887
    • Yamamoto Yutaka1
  • 23
    • 0035267147 scopus 로고    scopus 로고
    • Sampled-data filtering with error covariance assignment
    • DOI 10.1109/78.905899, PII S1053587X01006286
    • Wang Z, Huang B, Huo P,. Sampled-data filtering with error covariance assignment. IEEE Transactions on Signal Processing 2001; 49 (3): 666-670. (Pubitemid 32583168)
    • (2001) IEEE Transactions on Signal Processing , vol.49 , Issue.3 , pp. 666-670
    • Wang, Z.1    Huang, B.2    Huo, P.3
  • 24
    • 0032123234 scopus 로고    scopus 로고
    • Filtering on sampled-data systems with parametric uncertainty
    • PII S0018928698036034
    • Shi P,. Filtering on sampled-data systems with parametric uncertainty. IEEE Transactions on Automatic Control 1998; 43 (7): 1022-1027. (Pubitemid 128737743)
    • (1998) IEEE Transactions on Automatic Control , vol.43 , Issue.7 , pp. 1022-1027
    • Shi, P.1
  • 26
    • 2942517991 scopus 로고    scopus 로고
    • Robust sampled-data stabilization of linear systems: An input delay approach
    • Fridman E, Seuret A, Richard JP,. Robust sampled-data stabilization of linear systems: an input delay approach. Automatica 2004; 40 (8): 1441-1446.
    • (2004) Automatica , vol.40 , Issue.8 , pp. 1441-1446
    • Fridman, E.1    Seuret, A.2    Richard, J.P.3
  • 28
    • 67349262016 scopus 로고    scopus 로고
    • ∞ control with stochastic sampling
    • ∞ control with stochastic sampling. Automatica 2009; 45 (7): 1729-1736.
    • (2009) Automatica , vol.45 , Issue.7 , pp. 1729-1736
    • Gao, H.1    Wu, J.2    Shi, P.3
  • 29
    • 67349163189 scopus 로고    scopus 로고
    • Improved global asymptotical synchronization of chaotic Lur'e systems with sampled-data control
    • Zhang C, He Y, Wu M,. Improved global asymptotical synchronization of chaotic Lur'e systems with sampled-data control. IEEE Transactions on Circuits and Systems-II: Express Briefs 2009; 56 (4): 320-324.
    • (2009) IEEE Transactions on Circuits and Systems-II: Express Briefs , vol.56 , Issue.4 , pp. 320-324
    • Zhang, C.1    He, Y.2    Wu, M.3
  • 31
    • 68849094910 scopus 로고    scopus 로고
    • Stability and stabilization of delayed T-S fuzzy systems: A delay partitioning approach
    • Zhao Y, Gao H, Lam J, Du B,. Stability and stabilization of delayed T-S fuzzy systems: a delay partitioning approach. IEEE Transactions on Fuzzy Systems 2009; 17 (4): 750-762.
    • (2009) IEEE Transactions on Fuzzy Systems , vol.17 , Issue.4 , pp. 750-762
    • Zhao, Y.1    Gao, H.2    Lam, J.3    Du, B.4
  • 32
    • 67650284491 scopus 로고    scopus 로고
    • ∞ control of non-linear dynamic systems: A new fuzzy delay partitioning approach
    • ∞ control of non-linear dynamic systems: a new fuzzy delay partitioning approach. IET Control Theory and Applications 2009; 3 (7): 917-928.
    • (2009) IET Control Theory and Applications , vol.3 , Issue.7 , pp. 917-928
    • Zhao, Y.1    Wu, J.2    Shi, P.3
  • 33
    • 0034688173 scopus 로고    scopus 로고
    • A synthetic oscillatory network of transcriptional regulators
    • DOI 10.1038/35002125
    • Elowitz MB, Leibler S,. A synthetic oscillatory network of transcriptional regulators. Nature 2000; 403 (6767): 335-338. (Pubitemid 30062393)
    • (2000) Nature , vol.403 , Issue.6767 , pp. 335-338
    • Elowitz, M.B.1    Leibier, S.2


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