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, 1-12

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).

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:257971

DOI: 10.1155/2014/257971

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