On Exponential Periodicity And Stability of Nonlinear Neural Networks With Variable Coefficients And Distributed Delays
- Autores
- Lou, Xuyang; Cui, Baotong
- Año de publicación
- 2007
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- The exponential periodicity and stability of continuous nonlinear neural networks with variable coefficients and distributed delays are investigated via employing Young inequality technique and Lyapunov method. Some new sufficient conditions ensuring existence and uniqueness of periodic solution for a general class of neural systems are obtained. Without assuming the activation functions are to be bounded, differentiable or strictly increasing. Moreover, the symmetry of the connection matrix is not also necessary. Thus, we generalize and improve some previous works, and they are easy to check and apply in practice.
Facultad de Informática - Materia
-
Ciencias Informáticas
Neural nets
exponential periodicity - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc/3.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/9562
Ver los metadatos del registro completo
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On Exponential Periodicity And Stability of Nonlinear Neural Networks With Variable Coefficients And Distributed DelaysLou, XuyangCui, BaotongCiencias InformáticasNeural netsexponential periodicityThe exponential periodicity and stability of continuous nonlinear neural networks with variable coefficients and distributed delays are investigated via employing Young inequality technique and Lyapunov method. Some new sufficient conditions ensuring existence and uniqueness of periodic solution for a general class of neural systems are obtained. Without assuming the activation functions are to be bounded, differentiable or strictly increasing. Moreover, the symmetry of the connection matrix is not also necessary. Thus, we generalize and improve some previous works, and they are easy to check and apply in practice.Facultad de Informática2007-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf235-242http://sedici.unlp.edu.ar/handle/10915/9562enginfo:eu-repo/semantics/altIdentifier/url/http://journal.info.unlp.edu.ar/wp-content/uploads/JCST-Oct07-7.pdfinfo:eu-repo/semantics/altIdentifier/issn/1666-6038info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc/3.0/Creative Commons Attribution-NonCommercial 3.0 Unported (CC BY-NC 3.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T10:50:44Zoai:sedici.unlp.edu.ar:10915/9562Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 10:50:44.392SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
On Exponential Periodicity And Stability of Nonlinear Neural Networks With Variable Coefficients And Distributed Delays |
| title |
On Exponential Periodicity And Stability of Nonlinear Neural Networks With Variable Coefficients And Distributed Delays |
| spellingShingle |
On Exponential Periodicity And Stability of Nonlinear Neural Networks With Variable Coefficients And Distributed Delays Lou, Xuyang Ciencias Informáticas Neural nets exponential periodicity |
| title_short |
On Exponential Periodicity And Stability of Nonlinear Neural Networks With Variable Coefficients And Distributed Delays |
| title_full |
On Exponential Periodicity And Stability of Nonlinear Neural Networks With Variable Coefficients And Distributed Delays |
| title_fullStr |
On Exponential Periodicity And Stability of Nonlinear Neural Networks With Variable Coefficients And Distributed Delays |
| title_full_unstemmed |
On Exponential Periodicity And Stability of Nonlinear Neural Networks With Variable Coefficients And Distributed Delays |
| title_sort |
On Exponential Periodicity And Stability of Nonlinear Neural Networks With Variable Coefficients And Distributed Delays |
| dc.creator.none.fl_str_mv |
Lou, Xuyang Cui, Baotong |
| author |
Lou, Xuyang |
| author_facet |
Lou, Xuyang Cui, Baotong |
| author_role |
author |
| author2 |
Cui, Baotong |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Ciencias Informáticas Neural nets exponential periodicity |
| topic |
Ciencias Informáticas Neural nets exponential periodicity |
| dc.description.none.fl_txt_mv |
The exponential periodicity and stability of continuous nonlinear neural networks with variable coefficients and distributed delays are investigated via employing Young inequality technique and Lyapunov method. Some new sufficient conditions ensuring existence and uniqueness of periodic solution for a general class of neural systems are obtained. Without assuming the activation functions are to be bounded, differentiable or strictly increasing. Moreover, the symmetry of the connection matrix is not also necessary. Thus, we generalize and improve some previous works, and they are easy to check and apply in practice. Facultad de Informática |
| description |
The exponential periodicity and stability of continuous nonlinear neural networks with variable coefficients and distributed delays are investigated via employing Young inequality technique and Lyapunov method. Some new sufficient conditions ensuring existence and uniqueness of periodic solution for a general class of neural systems are obtained. Without assuming the activation functions are to be bounded, differentiable or strictly increasing. Moreover, the symmetry of the connection matrix is not also necessary. Thus, we generalize and improve some previous works, and they are easy to check and apply in practice. |
| publishDate |
2007 |
| dc.date.none.fl_str_mv |
2007-10 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://sedici.unlp.edu.ar/handle/10915/9562 |
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http://sedici.unlp.edu.ar/handle/10915/9562 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
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info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc/3.0/ Creative Commons Attribution-NonCommercial 3.0 Unported (CC BY-NC 3.0) |
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openAccess |
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http://creativecommons.org/licenses/by-nc/3.0/ Creative Commons Attribution-NonCommercial 3.0 Unported (CC BY-NC 3.0) |
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application/pdf 235-242 |
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