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Stability Analysis for GRNs with Mixed Delays

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Analysis and Design of Delayed Genetic Regulatory Networks

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 207))

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Abstract

The chapter will propose an \({\text {M}}\)-matrix-based approach to establish globally asymptotic stability criteria for the nonnegative equilibrium point of GRNs with mixed (i.e., discrete and distributed) delays.

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Authors and Affiliations

  1. School of Mathematical Science, Heilongjiang University, Harbin, China

    Xian Zhang & Yantao Wang

  2. School of Astronautics, Harbin Institute of Technology, Harbin, Heilongjiang, China

    Ligang Wu

Authors
  1. Xian Zhang
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  2. Yantao Wang
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  3. Ligang Wu
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Correspondence to Xian Zhang .

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Zhang, X., Wang, Y., Wu, L. (2019). Stability Analysis for GRNs with Mixed Delays. In: Analysis and Design of Delayed Genetic Regulatory Networks. Studies in Systems, Decision and Control, vol 207. Springer, Cham. https://doi.org/10.1007/978-3-030-17098-1_2

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  • DOI: https://doi.org/10.1007/978-3-030-17098-1_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-17097-4

  • Online ISBN: 978-3-030-17098-1

  • eBook Packages: EngineeringEngineering (R0)

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