This article is devoted to dynamic processes in the field of artificial intelligence, namely in
the tasks of neurodynamics. The problems of stability of transient processes in neural …

This article is devoted to dynamic processes in the field of artificial intelligence, namely in
the tasks of neurodynamics: the field of knowledge in which neural networks are considered …

ABSTRACT A mathematical model of neural network dynamics represented by a system of
differential equations with time-delay argument and an asymptotically stable linear part is …

The work is devoted to the analysis of Lyapunov stability of Cohen–Grossberg neural
networks with time-dependent delays. For this, the stability of steady solutions of systems of …

This paper introduces a general class of neural networks with arbitrary constant delays in
the neuron interconnections, and neuron activations belonging to the set of discontinuous …

This work is devoted to the modeling and investigation of the architecture design for the
delayed recurrent neural network, based on the delayed differential equations. The usage of …

EE Dudnikov, MV Rybashov, “On the absolute stability of a class of neural networks with
feedback”, Avtomat. i Telemekh., 1999, no. 12, 33–40; Autom. Remote Control, 60:12 (1999) …

In the paper the application of hierarchical Lyapunov functions is proposed for qualitative
analysis of solutions of discrete-time system. General results of analysis of quasi-linear …

The article presents a study of solutions of ODEs system with a special nonlinear part, which
is a continuous analogue of an arbitrary recurrent neural network (neural ODEs). As a …

In the present paper we investigate the dynamic properties of a specific class of nonlinear
delay-differential equations by studying the asymptotic behavior of their solutions by means …