| 引用本文: | 廖伍代, 廖晓昕.细胞神经网络平衡点稳定性分析[J].控制理论与应用,2003,20(1):89~92.[点击复制] |
| LIAO Wu-dai, LIAO Xiao-xin.Stability analysis of equilibria of cellular neural networks[J].Control Theory and Technology,2003,20(1):89~92.[点击复制] |
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| 细胞神经网络平衡点稳定性分析 |
| Stability analysis of equilibria of cellular neural networks |
| 摘要点击 1405 全文点击 1226 投稿时间：2001-05-28 修订日期：2001-12-31 |
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| DOI编号 |
| 2003,20(1):89-92 |
| 中文关键词 细胞神经网络 平衡点 指数稳定 条件稳定 矩阵测度 |
| 英文关键词 cellular neural networks equilibria exponential stability conditional stability matrix-measure |
| 基金项目 国家自然科学基金(60074008); 高等学校博士点基金(20010487005)资助项目 |
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| 中文摘要 |
| 采用分割状态空间为若干个子区域的方法,对细胞神经网络平衡点的稳定性进行分析.视平衡点在子区域边界上的情况,分别检验一个或多个相应区域内系统的矩阵的Hurwitz性,得到了仅依赖网络自身元素的充分性条件.该结果容易检验,便于网络设计. |
| 英文摘要 |
| By dividing state space into some sub-domains, the stability of equilibrium of the cellular neural networks is analyzed. According to the location of the equilibria, the Hurwitzian of one or more system matrices in each sub-domain is examined, and some sufficient algebraic conditions ensuring the stability of the equilibrium are obtained. The conditions only depend on the system parameters and are easily tested in the system design. |