Delay-Dependent Asymptotic Stability of Cohen-Grossberg Models with Multiple Time-Varying Delays
Dynamical behavior of a class of Cohen-Grossberg models with multiple time-varying delays is studied in detail. Sufficient delay-dependent criteria to ensure local and global asymptotic stabilities of the equilibrium of this network are derived by constructing suitable Lyapunov functionals. The obta...
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2007/28960 |
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| _version_ | 1832561958616825856 |
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| author | Xiaofeng Liao Songtao Guo |
| author_facet | Xiaofeng Liao Songtao Guo |
| author_sort | Xiaofeng Liao |
| collection | DOAJ |
| description | Dynamical behavior of a class of Cohen-Grossberg models with multiple time-varying delays is studied in detail. Sufficient delay-dependent criteria to ensure local and global asymptotic stabilities of the equilibrium of this network are derived by constructing suitable Lyapunov functionals. 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-0f3dd21598b34f20a7dd2552c6d29802 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-0f3dd21598b34f20a7dd2552c6d298022025-02-03T01:23:39ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2007-01-01200710.1155/2007/2896028960Delay-Dependent Asymptotic Stability of Cohen-Grossberg Models with Multiple Time-Varying DelaysXiaofeng Liao0Songtao Guo1School of Computer Science and Information, Chongqing Jiaotong University, Chongqing 400074, ChinaDepartment of Computer Science and Engineering, Chongqing University, Chongqing 400044, ChinaDynamical behavior of a class of Cohen-Grossberg models with multiple time-varying delays is studied in detail. Sufficient delay-dependent criteria to ensure local and global asymptotic stabilities of the equilibrium of this network are derived by constructing suitable Lyapunov functionals. 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/10.1155/2007/28960 |
| spellingShingle | Xiaofeng Liao Songtao Guo Delay-Dependent Asymptotic Stability of Cohen-Grossberg Models with Multiple Time-Varying Delays Discrete Dynamics in Nature and Society |
| title | Delay-Dependent Asymptotic Stability of Cohen-Grossberg Models with Multiple Time-Varying Delays |
| title_full | Delay-Dependent Asymptotic Stability of Cohen-Grossberg Models with Multiple Time-Varying Delays |
| title_fullStr | Delay-Dependent Asymptotic Stability of Cohen-Grossberg Models with Multiple Time-Varying Delays |
| title_full_unstemmed | Delay-Dependent Asymptotic Stability of Cohen-Grossberg Models with Multiple Time-Varying Delays |
| title_short | Delay-Dependent Asymptotic Stability of Cohen-Grossberg Models with Multiple Time-Varying Delays |
| title_sort | delay dependent asymptotic stability of cohen grossberg models with multiple time varying delays |
| url | http://dx.doi.org/10.1155/2007/28960 |
| work_keys_str_mv | AT xiaofengliao delaydependentasymptoticstabilityofcohengrossbergmodelswithmultipletimevaryingdelays AT songtaoguo delaydependentasymptoticstabilityofcohengrossbergmodelswithmultipletimevaryingdelays |