Linguistic flow in fuzzy discrete-time cellular neural networks and its stability

摘要

A type-III fuzzy discrete-time cellular neural network (FDTCNN) structure is presented to implement local linguistic dynamic systems. The theoretical results of equilibrium points and stability of this FDTCNN are presented. The state transient process of this FDTCNN is analyzed by using fuzzy mathematics, Markov chain, and graph theory. An efficient algorithm is presented to check the existence of globally stable equilibrium point. Examples in a two-cell FDTCNN are used to demonstrate theoretical results, Finally, designing examples of a 1-D FDTCNN are presented to simulate the traffic flow of a highway system. Computer simulation results are given.