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| GLOBAL STABILITY ANALYSIS IN CELLULAR NEURAL NETWORKS WITH UNBOUNDED TIME DELAYS | |
| 引用本文： | 张继业. GLOBAL STABILITY ANALYSIS IN CELLULAR NEURAL NETWORKS WITH UNBOUNDED TIME DELAYS[J]. 应用数学和力学(英文版), 2004, 25(6): 986-993. DOI: 10.1007/BF02438212 |
| 作者姓名： | 张继业 |
| 作者单位： | NationalTractionPowerLaboratory,SouthwestJiaotongUniversity,Chengdu610031,P.R.China |
| 基金项目： | theNationalNaturalScienceFoundationofChina (10 2 72 0 91) |
| 摘 要： | Without assuming the boundedness and differentiability of the activation functions, the conditions ensuring existence, uniqueness, and global asymptotical stability of the equilibrium point of cellular neural networks with unbounded time delays and variable delays were studied. Using the idea of vector Liapunov method, the intero-differential inequalities with unbounded delay and variable delays were constructed. By the stability analysis of the intero-differential inequalities, the sufficient conditions for global asymptotic stability of cellular neural networks were obtained. |
| 关 键 词： | 神经网络 时间延迟 稳定性 渐近稳定性 平衡点 |
| 收稿时间： | 2002-02-28 |
Global stability analysis in cellular neural networks with unbounded time delays |
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| Ji-ye,Zhang. Global stability analysis in cellular neural networks with unbounded time delays[J]. Applied Mathematics and Mechanics(English Edition), 2004, 25(6): 986-993. DOI: 10.1007/BF02438212 | |
| Authors: | Ji-ye Zhang |
| Affiliation: | National Traction Power Laboratory,Southwest Jiaotong University,Chengdu 610031,P.R.China |
| Abstract: | Without assuming the boundedness and differentiability of the activation functions, the conditions ensuring existence, uniqueness, and global asymptotical stability of the equilibrium point of cellular neural networks with unbounded time delays and variable delays were studied. Using the idea of vector Liapunov method, the intero-differential inequalities with unbounded delay and variable delays were constructed. By the stability analysis of the intero-differential inequalities, the sufficient conditions for global asymptotic stability of cellular neural networks were obtained. |
| Keywords: | neural network time delay cellular neural network stability |
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