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New stability conditions for GRNs with neutral delay

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Abstract

In this paper, the asymptotic stability problem of genetic regulatory networks with time-varying/constant neutral delay is considered. By introducing a new Lyapunov–Krasovskii functional and applying the free weighting matrix technique, sufficient delay-dependent stability conditions are developed and presented in terms of strict linear matrix inequality, which can be easily verified by using the LMI toolbox. Finally, two numerical examples are provided to demonstrate the effectiveness and reduced conservativeness of the proposed algorithm.

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Acknowledgments

This work was supported in part by Natural Science Foundation of China (60904022, 61273123, 60904030, 61104136), in part by Shandong Provincial Scientific Research Reward Foundation for Excellent Young and Middle-aged Scientists of China (BS2010DX011), in part by Specialized Research Fund for the Doctoral Programme of Higher Education of China (20113705120003), and in part by a research grant from the Australian Research Council.

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Correspondence to Guangdeng Zong.

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Jiao, T., Zong, G. & Zheng, W. New stability conditions for GRNs with neutral delay. Soft Comput 17, 703–712 (2013). https://doi.org/10.1007/s00500-012-0943-0

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  • DOI: https://doi.org/10.1007/s00500-012-0943-0

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