LMI-Based Approach for Exponential Robust Stability of High-Order Hopfield Neural Networks with Time-Varying Delays

This paper studies the problems of global exponential robust stability of high-order hopfield neural networks with time-varying delays. By employing a new Lyapunov-Krasovskii functional and linear matrix inequality, some criteria of global exponential robust stability for the high-order neural netwo...

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Main Authors: Yangfan Wang, Linshan Wang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/182745
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author Yangfan Wang
Linshan Wang
author_facet Yangfan Wang
Linshan Wang
author_sort Yangfan Wang
collection DOAJ
description This paper studies the problems of global exponential robust stability of high-order hopfield neural networks with time-varying delays. By employing a new Lyapunov-Krasovskii functional and linear matrix inequality, some criteria of global exponential robust stability for the high-order neural networks are established, which are easily verifiable and have a wider adaptive.
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1687-0042
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publishDate 2012-01-01
publisher Wiley
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series Journal of Applied Mathematics
spelling doaj-art-e3efc09ce64f40e4905b9736b68ab5912025-08-20T02:21:24ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/182745182745LMI-Based Approach for Exponential Robust Stability of High-Order Hopfield Neural Networks with Time-Varying DelaysYangfan Wang0Linshan Wang1College of Marine Life Science, Ocean University of China, Qingdao 266071, ChinaDepartment of Mathematics, Ocean University of China, Qingdao 266071, ChinaThis paper studies the problems of global exponential robust stability of high-order hopfield neural networks with time-varying delays. By employing a new Lyapunov-Krasovskii functional and linear matrix inequality, some criteria of global exponential robust stability for the high-order neural networks are established, which are easily verifiable and have a wider adaptive.http://dx.doi.org/10.1155/2012/182745
spellingShingle Yangfan Wang
Linshan Wang
LMI-Based Approach for Exponential Robust Stability of High-Order Hopfield Neural Networks with Time-Varying Delays
Journal of Applied Mathematics
title LMI-Based Approach for Exponential Robust Stability of High-Order Hopfield Neural Networks with Time-Varying Delays
title_full LMI-Based Approach for Exponential Robust Stability of High-Order Hopfield Neural Networks with Time-Varying Delays
title_fullStr LMI-Based Approach for Exponential Robust Stability of High-Order Hopfield Neural Networks with Time-Varying Delays
title_full_unstemmed LMI-Based Approach for Exponential Robust Stability of High-Order Hopfield Neural Networks with Time-Varying Delays
title_short LMI-Based Approach for Exponential Robust Stability of High-Order Hopfield Neural Networks with Time-Varying Delays
title_sort lmi based approach for exponential robust stability of high order hopfield neural networks with time varying delays
url http://dx.doi.org/10.1155/2012/182745
work_keys_str_mv AT yangfanwang lmibasedapproachforexponentialrobuststabilityofhighorderhopfieldneuralnetworkswithtimevaryingdelays
AT linshanwang lmibasedapproachforexponentialrobuststabilityofhighorderhopfieldneuralnetworkswithtimevaryingdelays