Dynamics Analysis Of Two Type Of Fuzzy Neural Networks With Leakage Delays On Time Scales

This thesis contains the several classes of Functional Differential Equations, including the existence of solutions and the stability of this solution on time scales. Also, some new results are obtained.A brief description of the organization of the thesis is as follows.In Chapter1, we consider the existence and global exponential stability of equilibrium point for the following fuzzy cellular neural networks with time-varying delays in the leakage term on time scales: where t∈T, i=1,2,..., n. By using fixed point theorem and the theory of calculus on time scales, we obtain some sufficient conditions for the existence, uniqueness and global exponential stability of equilibrium point of the networks. Finally, we present an example to illustrate that our results are effective. In Chapter2, we consider the existence and global exponential stability of solutions for the following stochastic fuzzy cellular neural networks with mixed time-varying delays and leakage delays on time scales:where t∈T, i=1,2,..., n. By using differential inequality techniques on time scales, we obtain some sufficient conditions on global exponential stability of solutions for this stochastic fuzzy neural networks. Finally, we present an example to illustrate that our results are effective.