Global Exponential Stability of Discrete-Time Neural Networks with Time-Varying Delays
This paper presents some global stability criteria of discrete-time neural networks with time-varying delays. Based on a discrete-type inequality, a new global stability condition for nonlinear difference equation is derived. We consider nonlinear discrete systems with time-varying delays and indepe...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/325752 |
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| _version_ | 1832554630785007616 |
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| author | S. Udpin P. Niamsup |
| author_facet | S. Udpin P. Niamsup |
| author_sort | S. Udpin |
| collection | DOAJ |
| description | This paper presents some global stability criteria of discrete-time neural networks with time-varying delays. Based on a discrete-type inequality, a new global stability condition for nonlinear difference equation is derived. We consider nonlinear discrete systems with time-varying delays and independence of delay time. Numerical examples are given to illustrate the effectiveness of our theoretical results. |
| format | Article |
| id | doaj-art-42f5d2c8f8ec48cab2ff50021f117ebb |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-42f5d2c8f8ec48cab2ff50021f117ebb2025-02-03T05:50:56ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/325752325752Global Exponential Stability of Discrete-Time Neural Networks with Time-Varying DelaysS. Udpin0P. Niamsup1Department of Mathematics, Kasetsart University, Kamphaeng Saen Campus, Nakhonpathom 73140, ThailandDepartment of Mathematics, Chiang Mai University, Chiang Mai 50200, ThailandThis paper presents some global stability criteria of discrete-time neural networks with time-varying delays. Based on a discrete-type inequality, a new global stability condition for nonlinear difference equation is derived. We consider nonlinear discrete systems with time-varying delays and independence of delay time. Numerical examples are given to illustrate the effectiveness of our theoretical results.http://dx.doi.org/10.1155/2013/325752 |
| spellingShingle | S. Udpin P. Niamsup Global Exponential Stability of Discrete-Time Neural Networks with Time-Varying Delays Discrete Dynamics in Nature and Society |
| title | Global Exponential Stability of Discrete-Time Neural Networks with Time-Varying Delays |
| title_full | Global Exponential Stability of Discrete-Time Neural Networks with Time-Varying Delays |
| title_fullStr | Global Exponential Stability of Discrete-Time Neural Networks with Time-Varying Delays |
| title_full_unstemmed | Global Exponential Stability of Discrete-Time Neural Networks with Time-Varying Delays |
| title_short | Global Exponential Stability of Discrete-Time Neural Networks with Time-Varying Delays |
| title_sort | global exponential stability of discrete time neural networks with time varying delays |
| url | http://dx.doi.org/10.1155/2013/325752 |
| work_keys_str_mv | AT sudpin globalexponentialstabilityofdiscretetimeneuralnetworkswithtimevaryingdelays AT pniamsup globalexponentialstabilityofdiscretetimeneuralnetworkswithtimevaryingdelays |