Variance-constrained filtering for discrete-time genetic regulatory networks with state delay and random measurement delay

Dongyan Chen, Weilu Chen, Jun Hu and Hongjian Liu

International Journal of Systems Science, 2019, vol. 50, issue 2, 231-243

Abstract: This paper is concerned with the variance-constrained filtering problem for a class of discrete-time genetic regulatory networks (GRNs) with state delay and random one-step measurement delay. The phenomenon of the random one-step measurement delay is characterised by a random variable, which is assumed to obey the Bernoulli distribution with known occurrence probability. The purpose of the addressed problem is to design a filter such that, in the presence of state delay and random one-step measurement delay, an upper bound of the filtering error covariance matrix can be obtained and the explicit expression of the filter gain matrix is given. Then, the proposed variance-constrained filtering method can be used to approximate the concentrations of mRNAs and proteins. Finally, a numerical example is provided to illustrate the effectiveness of the designed filtering scheme.

Date: 2019
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DOI: 10.1080/00207721.2018.1542045

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