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Filtering for Discrete-Time Genetic Regulatory Networks with Random Delay Described by a Markovian Chain

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  • Yantao Wang
  • Xingming Zhou
  • Xian Zhang

Abstract

This paper is concerned with the filtering problem for a class of discretetime genetic regulatory networks with random delay and external disturbance. The aim is to design filter to estimate the true concentrations of mRNAs and proteins based on available measurement data. By introducing an appropriate Lyapunov function, a sufficient condition is derived in terms of linear matrix inequalities (LMIs) which makes the filtering error system stochastically stable with a prescribed disturbance attenuation level. The filter gains are given by solving the LMIs. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed approach; that is, our approach is available for a smaller disturbance attenuation level than one in (Liu et al., 2012).

Suggested Citation

  • Yantao Wang & Xingming Zhou & Xian Zhang, 2014. "Filtering for Discrete-Time Genetic Regulatory Networks with Random Delay Described by a Markovian Chain," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, March.
    • Handle: RePEc:hin:jnlaaa:257971
    DOI: 10.1155/2014/257971
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