Kybernetika 54 no. 4, 844-863, 2018

Existence, uniqueness and global asymptotic stability for a class of complex-valued neutral-type neural networks with time delays

Manchun Tan and Desheng XuDOI: 10.14736/kyb-2018-4-0844

Abstract:

This paper explores the problem of delay-independent and delay-dependent stability for a class of complex-valued neutral-type neural networks with time delays. Aiming at the neutral-type neural networks, an appropriate function is constructed to derive the existence of equilibrium point. On the basis of homeomorphism theory, Lyapunov functional method and linear matrix inequality techniques, several LMI-based sufficient conditions on the existence, uniqueness and global asymptotic stability of equilibrium point for complex-valued neutral-type neural networks are obtained. Finally, numerical examples are given to illustrate the feasibility and the effectiveness of the proposed theoretical results.

Keywords:

complex-valued neutral-type neural networks, existence and uniqueness of equilibrium, global asymptotic stability, inequality techniques, Lyapunov functional

Classification:

37B25, 92B20

paper.pdf

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