A NEW CRITERION FOR STABILITY OF NEUTRAL-TYPE HOPFIELD NEURAL NETWORKS WITH CONSTANT DELAYS
This paper makes some contributions to the stability problem of neutral-type Hopfield neural network model having a constant time delay in states of neurons and a constant neutral delay in the time derivatives of states of neurons. With the help of a suitable Lyapunov functional, a novel stability c...
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| Format: | Article |
| Language: | English |
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Bursa Uludag University
2020-08-01
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| Series: | Uludağ University Journal of The Faculty of Engineering |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/pub/uumfd/issue/55761/716884 |
| _version_ | 1797906389488631808 |
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| author | Özlem Faydasıçok |
| author_facet | Özlem Faydasıçok |
| author_sort | Özlem Faydasıçok |
| collection | DOAJ |
| description | This paper makes some contributions to the stability problem of neutral-type Hopfield neural network model having a constant time delay in states of neurons and a constant neutral delay in the time derivatives of states of neurons. With the help of a suitable Lyapunov functional, a novel stability criterion is derived for neutral-type Hopfield neural network model. This stability criterion only requires to check the positive defineteness of the matrices involving the system elements of this type of neural networks. The presented stability condition proved to be independently of these time and neutral delays. Therefore, this condition can be easily justified by applying the properties of some certain matrices. A numerical example for this type of neutral systems is studied to show the applicability of the presented stability result. |
| first_indexed | 2024-04-10T10:20:10Z |
| format | Article |
| id | doaj.art-829c748ccdf549ebb2f6e156ca3a4dd1 |
| institution | Directory Open Access Journal |
| issn | 2148-4147 2148-4155 |
| language | English |
| last_indexed | 2024-04-10T10:20:10Z |
| publishDate | 2020-08-01 |
| publisher | Bursa Uludag University |
| record_format | Article |
| series | Uludağ University Journal of The Faculty of Engineering |
| spelling | doaj.art-829c748ccdf549ebb2f6e156ca3a4dd12023-02-15T16:21:41ZengBursa Uludag UniversityUludağ University Journal of The Faculty of Engineering2148-41472148-41552020-08-0125263965010.17482/uumfd.7168841779A NEW CRITERION FOR STABILITY OF NEUTRAL-TYPE HOPFIELD NEURAL NETWORKS WITH CONSTANT DELAYSÖzlem Faydasıçok0İstanbul ÜniversitesiThis paper makes some contributions to the stability problem of neutral-type Hopfield neural network model having a constant time delay in states of neurons and a constant neutral delay in the time derivatives of states of neurons. With the help of a suitable Lyapunov functional, a novel stability criterion is derived for neutral-type Hopfield neural network model. This stability criterion only requires to check the positive defineteness of the matrices involving the system elements of this type of neural networks. The presented stability condition proved to be independently of these time and neutral delays. Therefore, this condition can be easily justified by applying the properties of some certain matrices. A numerical example for this type of neutral systems is studied to show the applicability of the presented stability result.https://dergipark.org.tr/tr/pub/uumfd/issue/55761/716884nötral-tip sistemlerhopfield sinir ağlarılyapunov fonksiyonellerikararlılık analizineutral-type systemshopfield neural networkslyapunov functionalsstability analysis |
| spellingShingle | Özlem Faydasıçok A NEW CRITERION FOR STABILITY OF NEUTRAL-TYPE HOPFIELD NEURAL NETWORKS WITH CONSTANT DELAYS Uludağ University Journal of The Faculty of Engineering nötral-tip sistemler hopfield sinir ağları lyapunov fonksiyonelleri kararlılık analizi neutral-type systems hopfield neural networks lyapunov functionals stability analysis |
| title | A NEW CRITERION FOR STABILITY OF NEUTRAL-TYPE HOPFIELD NEURAL NETWORKS WITH CONSTANT DELAYS |
| title_full | A NEW CRITERION FOR STABILITY OF NEUTRAL-TYPE HOPFIELD NEURAL NETWORKS WITH CONSTANT DELAYS |
| title_fullStr | A NEW CRITERION FOR STABILITY OF NEUTRAL-TYPE HOPFIELD NEURAL NETWORKS WITH CONSTANT DELAYS |
| title_full_unstemmed | A NEW CRITERION FOR STABILITY OF NEUTRAL-TYPE HOPFIELD NEURAL NETWORKS WITH CONSTANT DELAYS |
| title_short | A NEW CRITERION FOR STABILITY OF NEUTRAL-TYPE HOPFIELD NEURAL NETWORKS WITH CONSTANT DELAYS |
| title_sort | new criterion for stability of neutral type hopfield neural networks with constant delays |
| topic | nötral-tip sistemler hopfield sinir ağları lyapunov fonksiyonelleri kararlılık analizi neutral-type systems hopfield neural networks lyapunov functionals stability analysis |
| url | https://dergipark.org.tr/tr/pub/uumfd/issue/55761/716884 |
| work_keys_str_mv | AT ozlemfaydasıcok anewcriterionforstabilityofneutraltypehopfieldneuralnetworkswithconstantdelays AT ozlemfaydasıcok newcriterionforstabilityofneutraltypehopfieldneuralnetworkswithconstantdelays |