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Article: On global asymptotic stability for a class of delayed neural networks
Title | On global asymptotic stability for a class of delayed neural networks |
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Authors | |
Keywords | Global Asymptotic Stability Linear Matrix Inequality Neural Networks Neutral Systems Time-Delay Systems |
Issue Date | 2012 |
Publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1976 |
Citation | International Journal Of Circuit Theory And Applications, 2012, v. 40 n. 11, p. 1165-1174 How to Cite? |
Abstract | This paper deals with the problem of stability analysis for a class of delayed neural networks described by nonlinear delay differential equations of the neutral type. A new and simple sufficient condition guaranteeing the existence, uniqueness and global asymptotic stability of an equilibrium point of such a kind of delayed neural networks is developed by the Lyapunov-Krasovskii method. The condition is expressed in terms of a linear matrix inequality, and thus can be checked easily by recently developed standard algorithms. When the stability condition is applied to the more commonly encountered delayed neural networks, it is shown that our result can be less conservative. Examples are provided to demonstrate the effectiveness of the proposed criteria. © 2011 John Wiley & Sons, Ltd. |
Persistent Identifier | http://hdl.handle.net/10722/157110 |
ISSN | 2021 Impact Factor: 2.378 2020 SCImago Journal Rankings: 0.364 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Lam, J | en_US |
dc.contributor.author | Xu, S | en_US |
dc.contributor.author | Ho, DWC | en_US |
dc.contributor.author | Zou, Y | en_US |
dc.date.accessioned | 2012-08-08T08:45:22Z | - |
dc.date.available | 2012-08-08T08:45:22Z | - |
dc.date.issued | 2012 | en_US |
dc.identifier.citation | International Journal Of Circuit Theory And Applications, 2012, v. 40 n. 11, p. 1165-1174 | en_US |
dc.identifier.issn | 0098-9886 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/157110 | - |
dc.description.abstract | This paper deals with the problem of stability analysis for a class of delayed neural networks described by nonlinear delay differential equations of the neutral type. A new and simple sufficient condition guaranteeing the existence, uniqueness and global asymptotic stability of an equilibrium point of such a kind of delayed neural networks is developed by the Lyapunov-Krasovskii method. The condition is expressed in terms of a linear matrix inequality, and thus can be checked easily by recently developed standard algorithms. When the stability condition is applied to the more commonly encountered delayed neural networks, it is shown that our result can be less conservative. Examples are provided to demonstrate the effectiveness of the proposed criteria. © 2011 John Wiley & Sons, Ltd. | en_US |
dc.language | eng | en_US |
dc.publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1976 | en_US |
dc.relation.ispartof | International Journal of Circuit Theory and Applications | en_US |
dc.subject | Global Asymptotic Stability | en_US |
dc.subject | Linear Matrix Inequality | en_US |
dc.subject | Neural Networks | en_US |
dc.subject | Neutral Systems | en_US |
dc.subject | Time-Delay Systems | en_US |
dc.title | On global asymptotic stability for a class of delayed neural networks | en_US |
dc.type | Article | en_US |
dc.identifier.email | Lam, J:james.lam@hku.hk | en_US |
dc.identifier.authority | Lam, J=rp00133 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1002/cta.777 | en_US |
dc.identifier.scopus | eid_2-s2.0-84867686248 | en_US |
dc.identifier.hkuros | 223452 | - |
dc.identifier.isi | WOS:000310074600005 | - |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Lam, J=7201973414 | en_US |
dc.identifier.scopusauthorid | Xu, S=7404438591 | en_US |
dc.identifier.scopusauthorid | Ho, DWC=7402971938 | en_US |
dc.identifier.scopusauthorid | Zou, Y=7402166773 | en_US |
dc.identifier.issnl | 0098-9886 | - |