Finite-time H∞ state estimation for genetic regulatory networks with observations of two hidden-Markov modest

This paper investigates the problem of finite-time
$H_{\infty}$
state estimation for discrete time-delayed genetic regulatory networks (GRNs) with observations of two hidden-Markov modes. A new GRN model with two Markov jump delays is proposed, of which the mode observations are governed by two hidden-Markov processes. The sufficient conditions are derived, which guarantee the finite-time boundedness of the estimation error dynamics with prescribed
$H_{\infty}$
disturbance attenuation performance. The state estimator parameters are designed by solving several matrix inequalities. A numerical example is given to illustrate the validity of our results.