New results on stability of periodic solution for CNNs with proportional delays and D operator

Bo Du

Kybernetika (2019)

  • Volume: 55, Issue: 5, page 852-869
  • ISSN: 0023-5954

Abstract

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The problems related to periodic solutions of cellular neural networks (CNNs) involving D operator and proportional delays are considered. We shall present Topology degree theory and differential inequality technique for obtaining the existence of periodic solution to the considered neural networks. Furthermore, Laypunov functional method is used for studying global asymptotic stability of periodic solutions to the above system.

How to cite

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Du, Bo. "New results on stability of periodic solution for CNNs with proportional delays and $D$ operator." Kybernetika 55.5 (2019): 852-869. <http://eudml.org/doc/295065>.

@article{Du2019,
abstract = {The problems related to periodic solutions of cellular neural networks (CNNs) involving $D$ operator and proportional delays are considered. We shall present Topology degree theory and differential inequality technique for obtaining the existence of periodic solution to the considered neural networks. Furthermore, Laypunov functional method is used for studying global asymptotic stability of periodic solutions to the above system.},
author = {Du, Bo},
journal = {Kybernetika},
keywords = {periodic solution; $D$ operator; existence; stability},
language = {eng},
number = {5},
pages = {852-869},
publisher = {Institute of Information Theory and Automation AS CR},
title = {New results on stability of periodic solution for CNNs with proportional delays and $D$ operator},
url = {http://eudml.org/doc/295065},
volume = {55},
year = {2019},
}

TY - JOUR
AU - Du, Bo
TI - New results on stability of periodic solution for CNNs with proportional delays and $D$ operator
JO - Kybernetika
PY - 2019
PB - Institute of Information Theory and Automation AS CR
VL - 55
IS - 5
SP - 852
EP - 869
AB - The problems related to periodic solutions of cellular neural networks (CNNs) involving $D$ operator and proportional delays are considered. We shall present Topology degree theory and differential inequality technique for obtaining the existence of periodic solution to the considered neural networks. Furthermore, Laypunov functional method is used for studying global asymptotic stability of periodic solutions to the above system.
LA - eng
KW - periodic solution; $D$ operator; existence; stability
UR - http://eudml.org/doc/295065
ER -

References

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