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State Estimation of Genetic Regulatory Networks with Leakage, Constant, and Distributed Time-Delays

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Dynamic Systems with Time Delays: Stability and Control

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Abstract

This chapter is concerned with the problem of designing state estimator for genetic regulatory networks (GRNs). Three types of delays are considered for modeling of GRNs, that is, leakage delay, normal constant delay, and distributed delay. The criteria for designing estimator are derived in the form of linear matrix inequality(LMI) and its’ effectiveness is shown by two numerical examples.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Yeungnam University, Gyeongsan-si, Korea (Republic of)

    Ju H. Park

  2. Division of Electronic Engineering, Chonbuk National University, Jeonju, Korea (Republic of)

    Tae H. Lee

  3. Control and Computer Engineering, North China Electric Power University, Beijing, China

    Yajuan Liu

  4. School of Electrical Engineering and Automation, Jiangsu Normal University, Xuzhou, China

    Jun Chen

Authors
  1. Ju H. Park
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  2. Tae H. Lee
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  3. Yajuan Liu
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  4. Jun Chen
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Corresponding author

Correspondence to Ju H. Park .

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Park, J., Lee, T.H., Liu, Y., Chen, J. (2019). State Estimation of Genetic Regulatory Networks with Leakage, Constant, and Distributed Time-Delays. In: Dynamic Systems with Time Delays: Stability and Control. Springer, Singapore. https://doi.org/10.1007/978-981-13-9254-2_13

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