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离散奇异摄动系统稳定性分析 被引量:1

Stability Analysis of Discrete Singularly Perturbed Systems
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摘要 讨论了关于离散奇异摄动系统的摄动稳定性解析条件,给出了离散奇异摄动系统两种模型下的摄动稳定性充要条件.通过分析状态矩阵的结构特性,得出了系统稳定所需要的状态矩阵形式和限制条件.同时,通过广义系统途径也得到了2-D离散奇异摄动Roessor模型稳定的充分条件. Some analytic conditions for stability of discrete singularly perturbed systems are presented. The stable sufficient and necessary conditions for two discrete singularly perturbed models are obtained. Simultaneously, the stable sufficient conditions for the 2-D discrete singularly perturbed systems are treated by the singular system method.
作者 蔡晨晓 邹云
出处 《自动化学报》 EI CSCD 北大核心 2007年第5期511-517,共7页 Acta Automatica Sinica
基金 国家自然科学基金(60474078 60574015)资助~~
关键词 奇异摄动系统 稳定性 2-D系统 Singularly perturbed systems, stability, 2-D systems
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