Finite-Time H∞ State Estimation for Discrete Time-Delayed Stochastic Switched Genetic Regulatory Networks with Uncertain Sojourn Probabilities

This paper investigates the problem of finite-time H
_∞
state estimation for discrete-time stochastic switched genetic regulatory networks (GRNs) with time-varying delays and exogenous disturbances. A new discrete time-delayed stochastic switched GRN model with uncertain sojourn probabilities is devised, which is more general than the switched GRNs model with completely known sojourn probabilities. The sufficient conditions which guarantee the stochastic finite-time boundedness of the estimation error dynamics with a prescribed H
_∞
disturbance attenuation level are derived. By solving several matrix inequalities, the state estimator parameters can be obtained. A numerical example is given to illustrate the effectiveness of our results.