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Robust stability of genetic regulatory networks with distributed delay

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Abstract

This paper investigates robust stability of genetic regulatory networks with distributed delay. Different from other papers, distributed delay is induced. It says that the concentration of macromolecule depends on an integral of the regulatory function of over a specified range of previous time, which is more realistic. Based on Lyapunov stability theory and linear matrix inequality (LMI), sufficient conditions for genetic regulatory networks to be global asymptotic stability and robust stability are derived in terms of LMI. Two numerical examples are given to illustrate the effectiveness of our theoretical results.

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Acknowledgments

The authors would like to thank the reviewers and the editor for their constructive comments which helped to improve the presentation of the paper. This work was jointly supported by the National Natural Science Foundation of China under Grant No. 60874088 and No. 60804028, the Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20070286003, and the Foundation for Excellent Doctoral Dissertation of Southeast University YBJJ0806.

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Authors and Affiliations

  1. Department of Mathematics, Southeast University, Nanjing, 210096, China

    Wangli He & Jinde Cao

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  1. Wangli He
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  2. Jinde Cao
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Correspondence to Wangli He.

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He, W., Cao, J. Robust stability of genetic regulatory networks with distributed delay. Cogn Neurodyn 2, 355–361 (2008). https://doi.org/10.1007/s11571-008-9062-0

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  • DOI: https://doi.org/10.1007/s11571-008-9062-0

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