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

Title:

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

Creator:

Tan, Manchun and Xu, Desheng

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:d212434d-7b38-4d0b-872a-791b1c74398e
uuid:d212434d-7b38-4d0b-872a-791b1c74398e
doi:10.14736/kyb-2018-4-0844

Subject:

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

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Source:

Kybernetika | 2018 Volume:54 | Number:4

Harvested from:

CDK

Metadata only:

false