Finite-time H∞ asynchronous state estimation for stochastically switched delayed genetic regulatory networks with sojourn probabilities

The issue of finite -time H infinity asynchronous state estimation is studied for stochastically switched delayed genetic regulatory networks (GRNs) with sojourn probabilities. A new asynchronous state estimator is proposed, where the mode's sojourn probabilities are stochastic and dependent on the mode of the GRN. By constructing a Lyapunov-Krasovskii functional that contains the mode of GRN and using an auxiliary functions -based summation inequality, a sufficient condition described by certain matrix inequalities is given to guarantee the error system to be stochastically finite -time bounded with H infinity performance. The gain matrices of state estimator are designed via the feasible solutions of these matrix inequalities. The merit of the state estimator design is demonstrated by an example.