Stability analysis for neutral-type impulsive neural networks with delays

Bo Du; Yurong Liu; Dan Cao

Kybernetika (2017)

  • Volume: 53, Issue: 3, page 513-529
  • ISSN: 0023-5954

Abstract

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By using linear matrix inequality (LMI) approach and Lyapunov functional method, we obtain some new sufficient conditions ensuring global asymptotic stability and global exponential stability of a generalized neutral-type impulsive neural networks with delays. A simulation example is provided to demonstrate the usefulness of the main results obtained. The main contribution in this paper is that a new neutral-type impulsive neural networks with variable delays is studied by constructing a novel Lyapunov functional and LMI approach.

How to cite

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Du, Bo, Liu, Yurong, and Cao, Dan. "Stability analysis for neutral-type impulsive neural networks with delays." Kybernetika 53.3 (2017): 513-529. <http://eudml.org/doc/294813>.

@article{Du2017,
abstract = {By using linear matrix inequality (LMI) approach and Lyapunov functional method, we obtain some new sufficient conditions ensuring global asymptotic stability and global exponential stability of a generalized neutral-type impulsive neural networks with delays. A simulation example is provided to demonstrate the usefulness of the main results obtained. The main contribution in this paper is that a new neutral-type impulsive neural networks with variable delays is studied by constructing a novel Lyapunov functional and LMI approach.},
author = {Du, Bo, Liu, Yurong, Cao, Dan},
journal = {Kybernetika},
keywords = {neutral-type; neural networks; Lyapunov functional method; stability},
language = {eng},
number = {3},
pages = {513-529},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Stability analysis for neutral-type impulsive neural networks with delays},
url = {http://eudml.org/doc/294813},
volume = {53},
year = {2017},
}

TY - JOUR
AU - Du, Bo
AU - Liu, Yurong
AU - Cao, Dan
TI - Stability analysis for neutral-type impulsive neural networks with delays
JO - Kybernetika
PY - 2017
PB - Institute of Information Theory and Automation AS CR
VL - 53
IS - 3
SP - 513
EP - 529
AB - By using linear matrix inequality (LMI) approach and Lyapunov functional method, we obtain some new sufficient conditions ensuring global asymptotic stability and global exponential stability of a generalized neutral-type impulsive neural networks with delays. A simulation example is provided to demonstrate the usefulness of the main results obtained. The main contribution in this paper is that a new neutral-type impulsive neural networks with variable delays is studied by constructing a novel Lyapunov functional and LMI approach.
LA - eng
KW - neutral-type; neural networks; Lyapunov functional method; stability
UR - http://eudml.org/doc/294813
ER -

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