Stability Analysis of A Class of Takagı-Sugeno Fuzzy Cohen-Grossberg Neural Networks with Time Delays
This paper deals with the problem of the global asymptotic stability of the class of Takagi-Sugeno Fuzzy Cohen-Grossberg neural networks with multiple time delays. By constructing a suitable fuzzy Lyapunov functional, we present a new delay-independent sufficient condition for the global asymptotic...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Bursa Uludag University
2018-08-01
|
| Series: | Uludağ University Journal of The Faculty of Engineering |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/pub/uumfd/issue/36936/406443 |
| _version_ | 1797918801372643328 |
|---|---|
| author | Neyir Özcan Semerci̇ Samet Barış |
| author_facet | Neyir Özcan Semerci̇ Samet Barış |
| author_sort | Neyir Özcan Semerci̇ |
| collection | DOAJ |
| description | This paper deals with the problem of the global
asymptotic stability of the class of Takagi-Sugeno Fuzzy Cohen-Grossberg neural
networks with multiple time delays. By constructing a suitable fuzzy Lyapunov
functional, we present a new delay-independent sufficient condition for the
global asymptotic stability of the equilibrium point for delayed Takagi-Sugeno
Fuzzy Cohen-Grossberg neural networks with respect to the Lipschitz activation
functions. The obtained condition simply relies on the network parameters of the
neural system. Therefore, the equilibrium and stability properties of the
neural network model considered in this paper can be easily verified by
exploiting some basic properties of some certain classes of matrices. |
| first_indexed | 2024-04-10T13:35:11Z |
| format | Article |
| id | doaj.art-fefe79cd331341fca87241b395e5672a |
| institution | Directory Open Access Journal |
| issn | 2148-4147 2148-4155 |
| language | English |
| last_indexed | 2024-04-10T13:35:11Z |
| publishDate | 2018-08-01 |
| publisher | Bursa Uludag University |
| record_format | Article |
| series | Uludağ University Journal of The Faculty of Engineering |
| spelling | doaj.art-fefe79cd331341fca87241b395e5672a2023-02-15T16:11:25ZengBursa Uludag UniversityUludağ University Journal of The Faculty of Engineering2148-41472148-41552018-08-01232455410.17482/uumfd.4064431779Stability Analysis of A Class of Takagı-Sugeno Fuzzy Cohen-Grossberg Neural Networks with Time DelaysNeyir Özcan Semerci̇Samet BarışThis paper deals with the problem of the global asymptotic stability of the class of Takagi-Sugeno Fuzzy Cohen-Grossberg neural networks with multiple time delays. By constructing a suitable fuzzy Lyapunov functional, we present a new delay-independent sufficient condition for the global asymptotic stability of the equilibrium point for delayed Takagi-Sugeno Fuzzy Cohen-Grossberg neural networks with respect to the Lipschitz activation functions. The obtained condition simply relies on the network parameters of the neural system. Therefore, the equilibrium and stability properties of the neural network model considered in this paper can be easily verified by exploiting some basic properties of some certain classes of matrices.https://dergipark.org.tr/tr/pub/uumfd/issue/36936/406443t-s bulanık sinir ağlarıgecikmeli sistemlerlyapunov fonksiyonellerit-s fuzzy neural networksdelayed systemslyapunov functionals |
| spellingShingle | Neyir Özcan Semerci̇ Samet Barış Stability Analysis of A Class of Takagı-Sugeno Fuzzy Cohen-Grossberg Neural Networks with Time Delays Uludağ University Journal of The Faculty of Engineering t-s bulanık sinir ağları gecikmeli sistemler lyapunov fonksiyonelleri t-s fuzzy neural networks delayed systems lyapunov functionals |
| title | Stability Analysis of A Class of Takagı-Sugeno Fuzzy Cohen-Grossberg Neural Networks with Time Delays |
| title_full | Stability Analysis of A Class of Takagı-Sugeno Fuzzy Cohen-Grossberg Neural Networks with Time Delays |
| title_fullStr | Stability Analysis of A Class of Takagı-Sugeno Fuzzy Cohen-Grossberg Neural Networks with Time Delays |
| title_full_unstemmed | Stability Analysis of A Class of Takagı-Sugeno Fuzzy Cohen-Grossberg Neural Networks with Time Delays |
| title_short | Stability Analysis of A Class of Takagı-Sugeno Fuzzy Cohen-Grossberg Neural Networks with Time Delays |
| title_sort | stability analysis of a class of takagi sugeno fuzzy cohen grossberg neural networks with time delays |
| topic | t-s bulanık sinir ağları gecikmeli sistemler lyapunov fonksiyonelleri t-s fuzzy neural networks delayed systems lyapunov functionals |
| url | https://dergipark.org.tr/tr/pub/uumfd/issue/36936/406443 |
| work_keys_str_mv | AT neyirozcansemerci stabilityanalysisofaclassoftakagısugenofuzzycohengrossbergneuralnetworkswithtimedelays AT sametbarıs stabilityanalysisofaclassoftakagısugenofuzzycohengrossbergneuralnetworkswithtimedelays |