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Exponential Stability of Stochastic Genetic Regulatory Networks with Interval Uncertainties and Multiple Delays

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Abstract

In this paper, the delay-dependent exponential stability analysis problem for a class of genetic regulatory networks (GRNs) with multiple time-varying delays and interval parameter uncertainties is studied. By employing a new Lyapunov–Krasovskii functional and employing some free-weighting matrices, we derive sufficient delay-dependent conditions ensuring the exponential stability of interval GRNs with multiple time-varying delays and stochastic perturbations in the form of linear matrix inequalities. Finally, three numerical examples are used to demonstrate and verify the advantages of the main results.

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Authors and Affiliations

  1. Business School, Sichuan University, Chengdu, 610065, People’s Republic of China

    Zhi Li

  2. College of Materials Science and Engineering, Sichuan University, Chengdu, 610065, People’s Republic of China

    Ke Chen

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  1. Zhi Li
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  2. Ke Chen
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Correspondence to Zhi Li.

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Li, Z., Chen, K. Exponential Stability of Stochastic Genetic Regulatory Networks with Interval Uncertainties and Multiple Delays. Arab J Sci Eng 39, 6507–6520 (2014). https://doi.org/10.1007/s13369-014-1206-4

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  • DOI: https://doi.org/10.1007/s13369-014-1206-4

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