Mathematics and Computer Applications - Sciene

Today automatic control systems have become an integrated part of our life. They appear in every things from simple electronic household products to air planes and spacecrafts. Automatic control systems can take highly different shapes but common to them all, is their function to manipulate a system so that it behaves in a desired fashion.Control of nonlinear systems is a major application area for neural networks.

The differential equations with a deviating argument are  differential equations in which the unknown function and its derivative enter, generally speaking, under different values of the argument, [El'sgol'ts L. and Norkin S., 1973].These equations appeared in the literature in the second half of the eighteenth century by Kondorse in 1771, but a systematic study of equations with a deviating argument began only in the twentieth century (especially in the last forty years by Myshkis A. in the Soviet Union, Wright E. and Bellman R.

Stability of fuzzy differential equations is one of the most important tasks in fuzzy set theory, since studying the behavior of the solution of the fuzzy differential system without solving the system explicitly fall into two categories: