Delay-dependent asymptotic stability for neural networks with time-varying delays
We study the dynamical behavior of a class of neural network models with time-varying delays. By constructing suitable Lyapunov functionals, we obtain sufficient delay-dependent criteria to ensure local and global asymptotic stability of the equilibrium of the neural network. Our results are applied...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS/2006/91725 |
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| _version_ | 1849306077917609984 |
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| author | Xiaofeng Liao Xiaofan Yang Wei Zhang |
| author_facet | Xiaofeng Liao Xiaofan Yang Wei Zhang |
| author_sort | Xiaofeng Liao |
| collection | DOAJ |
| description | We study the dynamical behavior of a class of neural network models with time-varying delays. By constructing suitable Lyapunov functionals, we obtain sufficient delay-dependent criteria to
ensure local and global asymptotic stability of the equilibrium of the neural network. Our results are applied to a two-neuron system with delayed connections between neurons, and some novel asymptotic stability criteria are also derived. The obtained conditions are shown to be less conservative and restrictive than those reported in the known literature. Some numerical examples are included to demonstrate our results. |
| format | Article |
| id | doaj-art-2cb4eb48701940b59cf8a1d0d71a1029 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-2cb4eb48701940b59cf8a1d0d71a10292025-08-20T03:55:12ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2006-01-01200610.1155/DDNS/2006/9172591725Delay-dependent asymptotic stability for neural networks with time-varying delaysXiaofeng Liao0Xiaofan Yang1Wei Zhang2School of Computer and Information, Chongqing Jiaotong University, Chonqing 400074, ChinaSchool of Computer and Information, Chongqing Jiaotong University, Chonqing 400074, ChinaDepartment of Computer and Modern Education Technology, Chongqing Education College, Chongqing 400030, ChinaWe study the dynamical behavior of a class of neural network models with time-varying delays. By constructing suitable Lyapunov functionals, we obtain sufficient delay-dependent criteria to ensure local and global asymptotic stability of the equilibrium of the neural network. Our results are applied to a two-neuron system with delayed connections between neurons, and some novel asymptotic stability criteria are also derived. The obtained conditions are shown to be less conservative and restrictive than those reported in the known literature. Some numerical examples are included to demonstrate our results.http://dx.doi.org/10.1155/DDNS/2006/91725 |
| spellingShingle | Xiaofeng Liao Xiaofan Yang Wei Zhang Delay-dependent asymptotic stability for neural networks with time-varying delays Discrete Dynamics in Nature and Society |
| title | Delay-dependent asymptotic stability for neural networks with time-varying delays |
| title_full | Delay-dependent asymptotic stability for neural networks with time-varying delays |
| title_fullStr | Delay-dependent asymptotic stability for neural networks with time-varying delays |
| title_full_unstemmed | Delay-dependent asymptotic stability for neural networks with time-varying delays |
| title_short | Delay-dependent asymptotic stability for neural networks with time-varying delays |
| title_sort | delay dependent asymptotic stability for neural networks with time varying delays |
| url | http://dx.doi.org/10.1155/DDNS/2006/91725 |
| work_keys_str_mv | AT xiaofengliao delaydependentasymptoticstabilityforneuralnetworkswithtimevaryingdelays AT xiaofanyang delaydependentasymptoticstabilityforneuralnetworkswithtimevaryingdelays AT weizhang delaydependentasymptoticstabilityforneuralnetworkswithtimevaryingdelays |