H∞ filtering problem for Markov jump neutral systems with nonlinear perturbations and uncertain transition probabilities

Abstract

The H∞ filtering problem for Markov jump neutral systems with nonlinear perturbations and uncertain transition probabilities is considered in this paper. According to the method of time delay segmentation and convex analysis, the stability condition and designed result of filter for the Markov jump neutral system are given. Finally, the effectiveness of the method is verified by the LMI toolbox of Matlab.