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Stabilization of Switched Stochastic Genetic Regulatory Networks with Leakage and Impulsive Effects

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Abstract

In this paper, the global asymptotical stability analysis problem is considered for stabilization of switched stochastic genetic regulatory networks with leakage and impulsive effects. Using the method of Lyapunov function, sufficient conditions are derived based on the linear matrix inequality (LMI) technique, which can easily be checked by utilizing the numerically efficient Matlab LMI toolbox. Finally, two numerical examples are given to expo the capability and efficiency of our results.

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Authors and Affiliations

  1. Department of Mathematics, Alagappa University, Karaikudi, 630 004, India

    S. Pandiselvi

  2. Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi, 630 004, India

    R. Raja

  3. School of Mathematics, Southeast University, Nanjing, 211189, China

    Jinde Cao

  4. Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai, Thailand

    G. Rajchakit

Authors
  1. S. Pandiselvi
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  2. R. Raja
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  3. Jinde Cao
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  4. G. Rajchakit
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Correspondence to Jinde Cao.

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This work was jointly supported by the Thailand research Grant Fund (RSA5980019) and Maejo University.

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Pandiselvi, S., Raja, R., Cao, J. et al. Stabilization of Switched Stochastic Genetic Regulatory Networks with Leakage and Impulsive Effects. Neural Process Lett 49, 593–610 (2019). https://doi.org/10.1007/s11063-018-9843-3

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  • DOI: https://doi.org/10.1007/s11063-018-9843-3

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