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Volumn , Issue , 2010, Pages 566-571

Asymptotic stability analysis of genetic regulatory networks with time-varying delay

Author keywords

Asymptotic stability; Genetic regulatory network; Linear ma rix inequality(LMI); Time varying delays

Indexed keywords

ANALYSIS APPROACH; BIOCHEMICAL REACTIONS; CROSS PRODUCT; FREE-WEIGHTING MATRICES; GENETIC NETWORKS; GENETIC REGULATION; GENETIC REGULATORY NETWORKS; ILLUSTRATIVE EXAMPLES; INTERVAL TIME-VARYING DELAYS; LINEAR MA RIX INEQUALITY(LMI); LMI TOOLBOXES; LYAPUNOV STABILITY THEORY; MATRIX FUNCTIONS; STABILITY CONDITION; SUFFICIENT CONDITIONS; TIME-VARYING DELAY; UPPER AND LOWER BOUNDS;

EID: 77955395904     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCDC.2010.5498985     Document Type: Conference Paper
Times cited : (10)

References (20)
  • 2
    • 0034212551 scopus 로고    scopus 로고
    • Engineering stability in gene networks by autoregulation
    • A. Becskei and L. Serrano, Engineering stability in gene networks by autoregulation, Nature, Vol. 405, No. 6786, 590-3, 2000.
    • (2000) Nature , vol.405 , Issue.6786 , pp. 590-593
    • Becskei, A.1    Serrano, L.2
  • 3
    • 0034688173 scopus 로고    scopus 로고
    • A synthetic oscillatory network of transcriptional regulators
    • M. Elowitz and S. Leibler, A synthetic oscillatory network of transcriptional regulators, Nature, Vol. 403, No. 6767, 335-338, 2000.
    • (2000) Nature , vol.403 , Issue.6767 , pp. 335-338
    • Elowitz, M.1    Leibler, S.2
  • 4
    • 0034688174 scopus 로고    scopus 로고
    • Construction of a genetic toggle switch in Escherichia coli
    • T. Gardner, C. Cantor, and J. Collins, Construction of a genetic toggle switch in Escherichia coli, Nature, Vol. 403, No. 6767, 339-42, 2000.
    • (2000) Nature , vol.403 , Issue.6767 , pp. 339-342
    • Gardner, T.1    Cantor, C.2    Collins, J.3
  • 5
    • 34548411782 scopus 로고    scopus 로고
    • Stability of Genetic Networks with SUM Regulatory Logic: Lur'e System and LMI Approach
    • C. Li, L. Chen, and K. Aihara, Stability of Genetic Networks With SUM Regulatory Logic: Lur'e System and LMI Approach, IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS PART 1 REGULAR PAPERS, Vol. 53, No. 11, 2451-2458, 2006.
    • (2006) IEEE Transactions on Circuits and Systems Part 1 Regular Papers , vol.53 , Issue.11 , pp. 2451-2458
    • Li, C.1    Chen, L.2    Aihara, K.3
  • 6
    • 0033725197 scopus 로고    scopus 로고
    • Mathematical Modeling of Gene Networks
    • P. Smolen, D. Baxter, and J. Byrne, Mathematical Modeling of Gene Networks, Neuron, Vol. 26, No. 3, 567-580, 2000.
    • (2000) Neuron , vol.26 , Issue.3 , pp. 567-580
    • Smolen, P.1    Baxter, D.2    Byrne, J.3
  • 7
    • 0036207347 scopus 로고    scopus 로고
    • Modeling and Simulation of Genetic Regulatory Systems: A Literature Review
    • H. de Jong, Modeling and Simulation of Genetic Regulatory Systems: A Literature Review, Journal of Computational Biology, Vol. 9, No. 1, 67-103, 2002.
    • (2002) Journal of Computational Biology , vol.9 , Issue.1 , pp. 67-103
    • De Jong, H.1
  • 8
    • 0036901602 scopus 로고    scopus 로고
    • Modeling transcriptional regulatory networks
    • H. Bolouri and E. Davidson, Modeling transcriptional regulatory networks, BioEssays, Vol. 24, No. 12,1118-1129, 2002.
    • (2002) BioEssays , vol.24 , Issue.12 , pp. 1118-1129
    • Bolouri, H.1    Davidson, E.2
  • 9
    • 0036576340 scopus 로고    scopus 로고
    • Stability of genetic regulatory networks with time delay
    • [see also Circuits and Systems I: Regular Papers, IEEE Transactions on]
    • L. Chen and K. Aihara, Stability of genetic regulatory networks with time delay, Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on [see also Circuits and Systems I: Regular Papers, IEEE Transactions on], Vol. 49, No. 5, 602-608, 2002.
    • (2002) Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on , vol.49 , Issue.5 , pp. 602-608
    • Chen, L.1    Aihara, K.2
  • 10
    • 38649083802 scopus 로고    scopus 로고
    • Asymptotic and robust stability of genetic regulatory networks with time-varying delays
    • F. Ren and J. Cao, Asymptotic and robust stability of genetic regulatory networks with time-varying delays, Neurocomputing, Vol. 71, No. 4-6, 834-842, 2008.
    • (2008) Neurocomputing , vol.71 , Issue.4-6 , pp. 834-842
    • Ren, F.1    Cao, J.2
  • 11
    • 43749095009 scopus 로고    scopus 로고
    • Stochastic Dynamic Modeling of Short Gene Expression Time-Series Data
    • Z. Wang, F. Yang, W. C. H. Daniel, and X. Liu, Stochastic Dynamic Modeling of Short Gene Expression Time-Series Data, IEEE TRANSACTIONS ON NANOBIOSCIENCE, Vol. 7, No. 1, 44-55, 2008.
    • (2008) IEEE Transactions on Nanobioscience , vol.7 , Issue.1 , pp. 44-55
    • Wang, Z.1    Yang, F.2    Daniel, W.C.H.3    Liu, X.4
  • 12
    • 45249111142 scopus 로고    scopus 로고
    • On Delayed Genetic Regulatory Networks with Polytopic Uncertainties: Robust Stability Analysis
    • Z. Wang, H. Gao, and X. Cao, J.and Liu, On Delayed Genetic Regulatory Networks With Polytopic Uncertainties: Robust Stability Analysis, IEEE TRANSACTIONS ON NANOBIOSCIENCE, Vol. 7, No. 2, 154-163, 2008.
    • (2008) IEEE Transactions on Nanobioscience , vol.7 , Issue.2 , pp. 154-163
    • Wang, Z.1    Gao, H.2    Cao, X.3    Liu, J.4
  • 13
    • 33646371219 scopus 로고    scopus 로고
    • Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays
    • Z. Wang, Y. Liu, K. Fraser, and X. Liu, Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays, Physics Letters A, Vol. 354, No. 4, 288-297, 2006.
    • (2006) Physics Letters A , vol.354 , Issue.4 , pp. 288-297
    • Wang, Z.1    Liu, Y.2    Fraser, K.3    Liu, X.4
  • 14
    • 33646499073 scopus 로고    scopus 로고
    • Robust stability analysis of generalized neural networks with discrete and distributed time delays
    • Z. Wang, H. Shu, Y. Liu, D. Ho, and X. Liu, Robust stability analysis of generalized neural networks with discrete and distributed time delays, Chaos, Solitons and Fractals, Vol. 30, No. 4, 886-896, 2006.
    • (2006) Chaos, Solitons and Fractals , vol.30 , Issue.4 , pp. 886-896
    • Wang, Z.1    Shu, H.2    Liu, Y.3    Ho, D.4    Liu, X.5
  • 15
    • 33749666646 scopus 로고    scopus 로고
    • External noise and feedback regulation: Steady-state statistics of auto-regulatory genetic network
    • B. Xu and Y. Tao, External noise and feedback regulation: Steady-state statistics of auto-regulatory genetic network, Journal of Theoretical Biology, Vol. 243,No. 2, 214-221, 2006.
    • (2006) Journal of Theoretical Biology , vol.243 , Issue.2 , pp. 214-221
    • Xu, B.1    Tao, Y.2
  • 16
    • 1942443174 scopus 로고    scopus 로고
    • Global robust exponential stability analysis for interval recurrent neural networks
    • S. Xu, J. Lam, D. Ho, and Y. Zou, Global robust exponential stability analysis for interval recurrent neural networks, Physics Letters A, Vol. 325, No. 2, 124-133, 2004.
    • (2004) Physics Letters A , vol.325 , Issue.2 , pp. 124-133
    • Xu, S.1    Lam, J.2    Ho, D.3    Zou, Y.4
  • 18
    • 17644395955 scopus 로고    scopus 로고
    • Network-based robust H control of systems with uncertainty
    • D. Yue, Q. Han, and J. Lam, Network-based robust H control of systems with uncertainty, Automatica, Vol. 41, No. 6, 999-1007, 2005.
    • (2005) Automatica , vol.41 , Issue.6 , pp. 999-1007
    • Yue, D.1    Han, Q.2    Lam, J.3
  • 19
    • 33746428728 scopus 로고    scopus 로고
    • A coherent feed-forward loop with a SUM input function prolongs flagella expression in Escherichia coli
    • No. 2005.0006
    • S. Kalir, S. Mangan, and U. Alon, A coherent feed-forward loop with a SUM input function prolongs flagella expression in Escherichia coli, Molecular Systems Biology, Vol. 1, No. 2005.0006, 2005.
    • (2005) Molecular Systems Biology , vol.1
    • Kalir, S.1    Mangan, S.2    Alon, U.3
  • 20
    • 0030108725 scopus 로고    scopus 로고
    • Output feedback H control of systems with parameter uncertainty
    • L. Xie, Output feedback H control of systems with parameter uncertainty, International Journal of Control, Vol. 63, No. 4, 741-750, 1996.
    • (1996) International Journal of Control , vol.63 , Issue.4 , pp. 741-750
    • Xie, L.1


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