Memory-based State Estimation of T–S Fuzzy Markov Jump Delayed Neural Networks with Reaction–Diffusion Terms

Abstract

This paper investigates the problem of state estimation for Takagi–Sugeno (T–S) fuzzy Markov jump delayed neural networks with reaction–diffusion terms. A memory-based control scheme that contains a constant signal transmission delay is adopted, which is the first attempt to handle the issue of state estimation for fuzzy neural networks. Firstly, several conditions that guarantee the stability of the considered system are derived. Then, the fuzzy memory-based controller design scheme is proposed. Finally, three numerical examples are given to demonstrate the validity of the proposed method.