H∞ Filtering for Discrete‐Time Genetic Regulatory Networks with Random Delay Described by a Markovian Chain

Yantao Wang, Xingming Zhou and Xian Zhang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: This paper is concerned with the H∞ filtering problem for a class of discretetime genetic regulatory networks with random delay and external disturbance. The aim is to design H∞ 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 H∞ 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 H∞ disturbance attenuation level than one in (Liu et al., 2012).

Date: 2014
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https://doi.org/10.1155/2014/257971

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:257971

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