细胞神经网络系统解轨线的长时间性态

基金项目: 国家自然科学基金资助项目(19801027);国家教育部回国人员基金资助项目

Long-Time Behavior of Transient Solutions for Cellular Neural Network Systems

Institute of Information and Systems Sciences, School of Sciences, Xi'an Jiaotong University, Xi'an 710049, P R China

摘要: 研究细胞神经网络系统解轨线的长时间性态,提出了系统关于平衡态集合解轨线稳定的概念,得到了系统在这种意义下稳定的条件。这里的结果推广了目前一些已有的结论并对网络的具体实现具有重要的指导作用。
- 细胞神经网络系统 /
- 解长时间性态 /
- 稳定性
Abstract: By establishing concept on transient solutions of general nonlinear systems converging to its equilibrium set, long-time behavior of solutions for cellular neural network systems is studied. A stability condition in generalized sense is obtained. This result reported has an important guide to concrete neural network designs.
- dynamic stability /
- cellural neural network systems /
- long-time behavior of transient solutions

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