New LMI-Based Conditions on Neural Networks of Neutral Type with Discrete Interval Delays and General Activation Functions
The stability analysis of global asymptotic stability of neural networks of neutral type with both discrete interval delays and general activation functions is discussed. New delay-dependent conditions are obtained by using more general Lyapunov-Krasovskii functionals. Meanwhile, these conditions ar...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/306583 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849467390566334464 |
|---|---|
| author | Guoquan Liu Shumin Zhou He Huang |
| author_facet | Guoquan Liu Shumin Zhou He Huang |
| author_sort | Guoquan Liu |
| collection | DOAJ |
| description | The stability analysis of global asymptotic stability of neural networks of neutral type with both discrete interval delays and general activation functions is discussed. New delay-dependent conditions are obtained by using more general Lyapunov-Krasovskii functionals. Meanwhile, these conditions are expressed in terms of a linear matrix inequality (LMI) and can be verified using the MATLAB LMI toolbox. Numerical examples are used to illustrate the effectiveness of the proposed approach. |
| format | Article |
| id | doaj-art-debf97accf8e42599205c3e111323c4d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-debf97accf8e42599205c3e111323c4d2025-08-20T03:26:15ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/306583306583New LMI-Based Conditions on Neural Networks of Neutral Type with Discrete Interval Delays and General Activation FunctionsGuoquan Liu0Shumin Zhou1He Huang2School of Mechanical and Electronic Engineering, East China Institute of Technology, Nanchang 330013, ChinaSchool of Mechanical and Electronic Engineering, East China Institute of Technology, Nanchang 330013, ChinaScience and Technology on UAV Laboratory, Northwestern Polytechnical University, Xi'an 710072, ChinaThe stability analysis of global asymptotic stability of neural networks of neutral type with both discrete interval delays and general activation functions is discussed. New delay-dependent conditions are obtained by using more general Lyapunov-Krasovskii functionals. Meanwhile, these conditions are expressed in terms of a linear matrix inequality (LMI) and can be verified using the MATLAB LMI toolbox. Numerical examples are used to illustrate the effectiveness of the proposed approach.http://dx.doi.org/10.1155/2012/306583 |
| spellingShingle | Guoquan Liu Shumin Zhou He Huang New LMI-Based Conditions on Neural Networks of Neutral Type with Discrete Interval Delays and General Activation Functions Abstract and Applied Analysis |
| title | New LMI-Based Conditions on Neural Networks of Neutral Type with Discrete Interval Delays and General Activation Functions |
| title_full | New LMI-Based Conditions on Neural Networks of Neutral Type with Discrete Interval Delays and General Activation Functions |
| title_fullStr | New LMI-Based Conditions on Neural Networks of Neutral Type with Discrete Interval Delays and General Activation Functions |
| title_full_unstemmed | New LMI-Based Conditions on Neural Networks of Neutral Type with Discrete Interval Delays and General Activation Functions |
| title_short | New LMI-Based Conditions on Neural Networks of Neutral Type with Discrete Interval Delays and General Activation Functions |
| title_sort | new lmi based conditions on neural networks of neutral type with discrete interval delays and general activation functions |
| url | http://dx.doi.org/10.1155/2012/306583 |
| work_keys_str_mv | AT guoquanliu newlmibasedconditionsonneuralnetworksofneutraltypewithdiscreteintervaldelaysandgeneralactivationfunctions AT shuminzhou newlmibasedconditionsonneuralnetworksofneutraltypewithdiscreteintervaldelaysandgeneralactivationfunctions AT hehuang newlmibasedconditionsonneuralnetworksofneutraltypewithdiscreteintervaldelaysandgeneralactivationfunctions |