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International Symposium on Neural Networks

ISNN 2011: Advances in Neural Networks – ISNN 2011 pp 280–289Cite as

Stability Analysis of Genetic Regulatory Networks with Mixed Time-Delays

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6677))

Abstract

In this paper, a class of genetic regulatory networks with discrete delays and distributed delays is investigated. By applying the Young inequality and introducing many real parameters, a series of new and useful criteria on the existence, uniqueness of equilibrium point and global asymptotical stability are established. Finally, an example is given to illustrate the result obtained in this paper.

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Author information

Authors and Affiliations

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, China

    Zhanheng Chen & Haijun Jiang

  2. Department of Mathematic, YiLi Normal University, YiNing, 835000, China

    Zhanheng Chen

Authors
  1. Zhanheng Chen
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  2. Haijun Jiang
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Editor information

Editors and Affiliations

  1. Institute of Automation, Key Laboratory of Complex Systems and Intelligence Science, Chinese Academy of Sciences, 100190, Beijing, China

    Derong Liu

  2. College of Information Science and Engineering, Northeastern University, 110004, Shenyang, Liaoing, China

    Huaguang Zhang

  3. Department of Electrical and Computer Engineering, University of Cyprus, 75 Kallipoleos Avenue, 1678, Nicosia, Cyprus

    Marios Polycarpou

  4. Dipartimento di Elettronica, Politecnico di Milano, Piazza L. da Vinci 32, 20133, Milano, Italy

    Cesare Alippi

  5. Deptartment of Electrical, Computer and Biomedical Engineering, University of Rhode Island, 02881, Kingston, RI, USA

    Haibo He

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© 2011 Springer-Verlag Berlin Heidelberg

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Chen, Z., Jiang, H. (2011). Stability Analysis of Genetic Regulatory Networks with Mixed Time-Delays. In: Liu, D., Zhang, H., Polycarpou, M., Alippi, C., He, H. (eds) Advances in Neural Networks – ISNN 2011. ISNN 2011. Lecture Notes in Computer Science, vol 6677. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21111-9_31

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  • DOI: https://doi.org/10.1007/978-3-642-21111-9_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21110-2

  • Online ISBN: 978-3-642-21111-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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