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