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Stability analysis for delayed genetic regulatory networks with reaction--diffusion terms

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Abstract

This paper deals with the problem of asymptotic stability for delayed genetic regulatory networks with reaction--diffusion terms. For three types of boundary conditions, delay-dependent criteria are established by the Lyapunov--Krasovskii functional approach, respectively. The obtained results are expressed in terms of linear matrix inequalities. Numerical examples illustrating the effectiveness of the proposed approach are provided.

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Acknowledgments

This work is supported by the Natural Science Foundation of Jiangsu Province under Grant BK2008047, NSFC 61074043, and Qing Lan Project.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, 210094, Nanjing, People’s Republic of China

    Qian Ma, Shengyuan Xu & Yun Zou

  2. School of Information Science and Engineering, Changzhou University, 213164, Changzhou, People’s Republic of China

    Guodong Shi

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  1. Qian Ma
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  2. Guodong Shi
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  4. Yun Zou
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Correspondence to Shengyuan Xu.

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Ma, Q., Shi, G., Xu, S. et al. Stability analysis for delayed genetic regulatory networks with reaction--diffusion terms. Neural Comput & Applic 20, 507–516 (2011). https://doi.org/10.1007/s00521-011-0575-9

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