4.5 Article

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

Journal

NEURAL PROCESSING LETTERS
Volume 49, Issue 2, Pages 593-610

Publisher

SPRINGER
DOI: 10.1007/s11063-018-9843-3

Keywords

Stochastic genetic regulatory networks (SGRNs); Distributed delays; Leakage delays; Lyapunov-Krasovskii functional (LKF); Impulses; Linear matrix inequalities (LMIs)

Funding

  1. Thailand research Grant Fund [RSA5980019]
  2. Maejo University

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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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