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Finite‐Time Stability Analysis of Switched Genetic Regulatory Networks

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  • Lizi Yin

Abstract

This paper investigates the finite‐time stability problem of switching genetic regulatory networks (GRNs) with interval time‐varying delays and unbounded continuous distributed delays. Based on the piecewise Lyapunov‐Krasovskii functional and the average dwell time method, some new finite‐time stability criteria are obtained in the form of linear matrix inequalities (LMIs), which are easy to be confirmed by the Matlab toolbox. The finite‐time stability is taken into account in switching genetic regulatory networks for the first time and the average dwell time of the switching signal is obtained. Two numerical examples are presented to illustrate the effectiveness of our results.

Suggested Citation

  • Lizi Yin, 2014. "Finite‐Time Stability Analysis of Switched Genetic Regulatory Networks," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:730292
    DOI: 10.1155/2014/730292
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    References listed on IDEAS

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    1. Michael B. Elowitz & Stanislas Leibler, 2000. "A synthetic oscillatory network of transcriptional regulators," Nature, Nature, vol. 403(6767), pages 335-338, January.
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