Dynamic Analysis of Nonlinear Impulsive Neutral Nonautonomous Differential Equations with Delays
A class of neural networks described by nonlinear impulsive neutral nonautonomous differential equations with delays is considered. By means of Lyapunov functionals and differential inequality technique, criteria on global exponential stability of this model are derived. Many adjustable parameters a...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/624897 |
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| _version_ | 1832564442299105280 |
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| author | Jinxian Li |
| author_facet | Jinxian Li |
| author_sort | Jinxian Li |
| collection | DOAJ |
| description | A class of neural networks described by nonlinear impulsive neutral nonautonomous differential equations with delays is considered. By means of Lyapunov functionals and differential inequality technique, criteria on global exponential stability of this model are derived. Many adjustable parameters are introduced in criteria to provide flexibility for the design and analysis of the system. The results of this paper are new and they supplement previously known results. An example is given to illustrate the results. |
| format | Article |
| id | doaj-art-f190deb9eb5e4ae8b5d453b48061b737 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f190deb9eb5e4ae8b5d453b48061b7372025-02-03T01:11:01ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/624897624897Dynamic Analysis of Nonlinear Impulsive Neutral Nonautonomous Differential Equations with DelaysJinxian Li0School of Mathematical Science, Shanxi University, Taiyuan 030006, ChinaA class of neural networks described by nonlinear impulsive neutral nonautonomous differential equations with delays is considered. By means of Lyapunov functionals and differential inequality technique, criteria on global exponential stability of this model are derived. Many adjustable parameters are introduced in criteria to provide flexibility for the design and analysis of the system. The results of this paper are new and they supplement previously known results. An example is given to illustrate the results.http://dx.doi.org/10.1155/2014/624897 |
| spellingShingle | Jinxian Li Dynamic Analysis of Nonlinear Impulsive Neutral Nonautonomous Differential Equations with Delays Abstract and Applied Analysis |
| title | Dynamic Analysis of Nonlinear Impulsive Neutral Nonautonomous Differential Equations with Delays |
| title_full | Dynamic Analysis of Nonlinear Impulsive Neutral Nonautonomous Differential Equations with Delays |
| title_fullStr | Dynamic Analysis of Nonlinear Impulsive Neutral Nonautonomous Differential Equations with Delays |
| title_full_unstemmed | Dynamic Analysis of Nonlinear Impulsive Neutral Nonautonomous Differential Equations with Delays |
| title_short | Dynamic Analysis of Nonlinear Impulsive Neutral Nonautonomous Differential Equations with Delays |
| title_sort | dynamic analysis of nonlinear impulsive neutral nonautonomous differential equations with delays |
| url | http://dx.doi.org/10.1155/2014/624897 |
| work_keys_str_mv | AT jinxianli dynamicanalysisofnonlinearimpulsiveneutralnonautonomousdifferentialequationswithdelays |