Study On The Stability Of Two Kinds Of BAM Systems With Time Delay

In this paper, we discussed the global robust asymptotic stability of the equilibrium point for a more general class of BAM neural networks and the exponential discrete-time analogue BAM networks with time-delays. This paper consists of four parts, the first chapter presents the research background of the bidirectional associative memory network and development, and the development present situation of discrete BAM neural network,Is also given in this paper to solve the problem.The bidirectional associative memory network is a new and inter discipline. In recent years has been widely used and made great achievements results. In the second chapter of this article,first studied the asymptotic stability of the BAM neural networks with time delay and pulse. By giving some assumptions, using linear matrix inequality, constructing the Lyapunov function to get some sufficient conditions of the system is globally asymptotically stable. A numerical simulation is given at last.In order to make the computer have intelligence. Would not only in some mode represented knowledge stored in the computer, but also make it be able to use knowledge reasoning to solve the problem. So, in the third chapter,We studied the exponential stability of discrete BAM neural network with time delay. Applied topological homeomorphism mapping, Lyapunov function method to obtain some sufficient conditions for global exponential stability of the discrete BAM neural network with time-delay. An example is given to illustrate the feasibility and the validity of the results.