Design of non-fragile finite-time l2 - l∞ state estimation for discrete-time switched systems with time delays and sojourn probabilities

Design of a non-fragile state estimator for a class of discrete-time systems with unreliable communication links is investigated in this paper. Using the technique of sojourn probability, the filter design for the specific subsystem tends to change based on the probability staying in each subsystem. The problem ensures to design a state estimator so that the error system attains stochastically finite-time stability in its mean square with a prescribed l
₂
- l
_∞
level by applying Lyapunov functional technique. Finally, the proposed criteria is demonstrated by a numerical simulation.