Title :
Linguistic flow in fuzzy discrete-time cellular neural networks and its stability
Author :
Yang, Tao ; Yang, Lin-Bao ; Yang, Chun-Mei ; Yang, Xiu-Ping ; Yang, Hong-Nian
Author_Institution :
Electron. Res. Lab., California Univ., Berkeley, CA, USA
fDate :
9/1/1998 12:00:00 AM
Abstract :
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
Keywords :
Markov processes; cellular neural nets; computational linguistics; discrete time systems; fuzzy neural nets; graph theory; stability; 1-D FDTCNN; Markov chain; algorithm; computer simulation; equilibrium point; fuzzy mathematics; global stability; graph theory; highway system; linguistic flow; traffic flow; transient process; two-cell FDTCNN; type III fuzzy discrete time cellular neural network; Cellular neural networks; Computational modeling; Fuzzy neural networks; Fuzzy systems; Graph theory; Mathematics; Road transportation; Stability; Traffic control; Transient analysis;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
