ℋ∞ Stability Conditions for Fuzzy Neural Networks

This paper presents a novel approach to assess the stability of fuzzy neural networks. First, we propose a new condition for the ℋ∞ stability of fuzzy neural networks. Second, a new ℋ∞ stability condition based on linear matrix inequality (LMI) is presented for fuzzy neural networks. These condition...

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Main Author: Choon Ki Ahn
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2012/281821
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author Choon Ki Ahn
author_facet Choon Ki Ahn
author_sort Choon Ki Ahn
collection DOAJ
description This paper presents a novel approach to assess the stability of fuzzy neural networks. First, we propose a new condition for the ℋ∞ stability of fuzzy neural networks. Second, a new ℋ∞ stability condition based on linear matrix inequality (LMI) is presented for fuzzy neural networks. These conditions also ensure asymptotic stability without external input.
format Article
id doaj-art-88ef7b7f13cc487b82f23de439f82a45
institution Kabale University
issn 1687-7101
1687-711X
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Advances in Fuzzy Systems
spelling doaj-art-88ef7b7f13cc487b82f23de439f82a452025-02-03T01:31:40ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2012-01-01201210.1155/2012/281821281821ℋ∞ Stability Conditions for Fuzzy Neural NetworksChoon Ki Ahn0Department of Automotive Engineering, Seoul National University of Science & Technology, 172 Gongneung 2-dong, Nowon-gu, Seoul 139-743, Republic of KoreaThis paper presents a novel approach to assess the stability of fuzzy neural networks. First, we propose a new condition for the ℋ∞ stability of fuzzy neural networks. Second, a new ℋ∞ stability condition based on linear matrix inequality (LMI) is presented for fuzzy neural networks. These conditions also ensure asymptotic stability without external input.http://dx.doi.org/10.1155/2012/281821
spellingShingle Choon Ki Ahn
ℋ∞ Stability Conditions for Fuzzy Neural Networks
Advances in Fuzzy Systems
title ℋ∞ Stability Conditions for Fuzzy Neural Networks
title_full ℋ∞ Stability Conditions for Fuzzy Neural Networks
title_fullStr ℋ∞ Stability Conditions for Fuzzy Neural Networks
title_full_unstemmed ℋ∞ Stability Conditions for Fuzzy Neural Networks
title_short ℋ∞ Stability Conditions for Fuzzy Neural Networks
title_sort h∞ stability conditions for fuzzy neural networks
url http://dx.doi.org/10.1155/2012/281821
work_keys_str_mv AT choonkiahn hstabilityconditionsforfuzzyneuralnetworks