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

Manchun Tan; Desheng Xu

Kybernetika (2018)

  • Volume: 54, Issue: 4, page 844-863
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Tan, Manchun, and Xu, Desheng. "Existence, uniqueness and global asymptotic stability for a class of complex-valued neutral-type neural networks with time delays." Kybernetika 54.4 (2018): 844-863. <http://eudml.org/doc/294754>.

@article{Tan2018,
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.},
author = {Tan, Manchun, Xu, Desheng},
journal = {Kybernetika},
keywords = {complex-valued neutral-type neural networks; existence and uniqueness of equilibrium; global asymptotic stability; inequality techniques; Lyapunov functional},
language = {eng},
number = {4},
pages = {844-863},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Existence, uniqueness and global asymptotic stability for a class of complex-valued neutral-type neural networks with time delays},
url = {http://eudml.org/doc/294754},
volume = {54},
year = {2018},
}

TY - JOUR
AU - Tan, Manchun
AU - Xu, Desheng
TI - Existence, uniqueness and global asymptotic stability for a class of complex-valued neutral-type neural networks with time delays
JO - Kybernetika
PY - 2018
PB - Institute of Information Theory and Automation AS CR
VL - 54
IS - 4
SP - 844
EP - 863
AB - 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.
LA - eng
KW - complex-valued neutral-type neural networks; existence and uniqueness of equilibrium; global asymptotic stability; inequality techniques; Lyapunov functional
UR - http://eudml.org/doc/294754
ER -

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