Stability theory by Lyapunov’s first method and recurrent neural networks

In the present paper, we give some relationship between Lyapunov’s exponents and the recurrent neural network model described by the system of delay-differential equations. We investigate the dynamic properties of the specific class of nonlinear delay-differential equations by studying the asymptotic behavior of their solutions by means of Lyapunov’s exponents. The text was submitted by the author in English.