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| 细胞神经网络指数稳定及周期解的新判据 * | |
| 引用本文： | 刘自鑫,吕 恕,钟守铭,叶 茂 b. 细胞神经网络指数稳定及周期解的新判据 *[J]. 计算机应用研究, 2009, 26(8): 2879-2880. DOI: 10.3969/j.issn.1001-3695.2009.08.022 |
| 作者姓名： | 刘自鑫 吕 恕 钟守铭 叶 茂 b |
| 作者单位： | 1. 电子科技大学,应用数学学院,成都610054;贵州财经学院数学与统计学院,贵,3550004 2. 电子科技大学,应用数学学院,成都610054 3. 电子科技大学,计算机科学与工程学院,成都610054 |
| 基金项目： | 国家教育部新世纪人才支持计划资助项目（NCET- 06- 0811）;贵州财经学院 博士基金资助项目（200702） |
| 摘 要： | 利用细胞神经网络激励函数的特点，对连接权矩阵进行适当分块，结合线性矩阵不等式分析技巧，得到 了指数稳定及周期解存在的新判据，得到的新判据具有更弱的保守性。仿真结果表明，新判据是有效的。 |
| 关 键 词： | 细胞神经网络 指数稳定 周期解 分块矩阵 |
Novel exponential stability and periodicity of cellular neural networks |
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| LIU Zi-xin,LV Shu,ZHONG Shou-ming,YE Mao b. Novel exponential stability and periodicity of cellular neural networks[J]. Application Research of Computers, 2009, 26(8): 2879-2880. DOI: 10.3969/j.issn.1001-3695.2009.08.022 | |
| Authors: | LIU Zi-xin LV Shu ZHONG Shou-ming YE Mao b |
| Affiliation: | 1.a.School of Applied Mathematics;b.School of Computer Science & Engineering;University of Electronic Science & Technology of China;Chengdu 610054;China;2.School of Mathematics & Statistics;Guizhou College of Finance & Economics;Guiyang 550004;China |
| Abstract: | Based on the feature of activation function of cellular neural networks,by using linear matrix inequality and partitioning of matrix technique,obtained two novel criteria ensuring exponential stability and periodicity.Compared with previous results,the novel criteria of this paper is less conservative.Simulation example shows that the new criteria is valid. |
| Keywords: | cellular neural networks exponential stability periodicity solution partitioned matrices |
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