Stability Analysis of Genetic Regulatory Networks With Switching Parameters and Time Delays.

Journal: IEEE transactions on neural networks and learning systems
Published Date: Jun 28, 2017

Abstract

This paper is concerned with the exponential stability analysis of genetic regulatory networks (GRNs) with switching parameters and time delays. In this paper, a new integral inequality and an improved reciprocally convex combination inequality are considered. By using the average dwell time approach together with a novel Lyapunov-Krasovskii functional, we derived some conditions to ensure the switched GRNs with switching parameters and time delays are exponentially stable. Finally, we give two numerical examples to clarify that our derived results are effective.

Authors

  • Tingting Yu
    Hubei Provincial Institute for Food Supervision and Test, Hubei Provincial Engineering and Technology Research Center for Food Quality and Safety Test, Wuhan 430075, China.
  • Jianxing Liu
  • Yi Zeng
    Department of Geriatrics, Second Xiangya Hospital, Central South University, Changsha, 410011, Hunan, China.
  • Xian Zhang
    The Key Laboratory of Industrial Biotechnology, Ministry of Education, School of Biotechnology, Jiangnan University, Wuxi, China.
  • Qingshuang Zeng
  • Ligang Wu

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