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Comment on: robust stability of stochastic genetic regulatory networks with discrete and distributed delays

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Abstract

This comment points out to some mistakes in the main theorem of Wang (Soft Comput, 13(12):1199–1208, 2009) concerning stochastic robust stability of genetic regulatory networks (GRNs). The inequalities in the theorem are not LMIs. Moreover, the proof of theorem is based on a sector condition that was expressed incorrectly and thus invalidates the proof. The correct LMIs are provided in this comment.

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References

  • Slotine JE, Li W (1991) Applied nonlinear control. Prentice-Hall, Englewood Cliffs

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  • Wang ZH, Liao X, Mao J, Liu G (2009) Robust stability of stochastic genetic regulatory networks with discrete and distributed delays. Soft Comput 13(12):1199–1208

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Authors and Affiliations

  1. Intelligent Control Systems Laboratory, School of Electrical and Computer Engineering, Tarbiat Modares University, P.O. Box 14115-194, Tehran, Iran

    Alireza Salimpour, Vahid Johari Majd & Mahdi Sojoodi

Authors
  1. Alireza Salimpour
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  2. Vahid Johari Majd
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  3. Mahdi Sojoodi
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Correspondence to Vahid Johari Majd.

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Salimpour, A., Majd, V.J. & Sojoodi, M. Comment on: robust stability of stochastic genetic regulatory networks with discrete and distributed delays. Soft Comput 15, 769–770 (2010). https://doi.org/10.1007/s00500-010-0608-9

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  • DOI: https://doi.org/10.1007/s00500-010-0608-9

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