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  • 杜富,梁家荣,张晶华.离散T-S模糊广义系统稳定性的一个新判别条件[J].广西科学,2010,17(2):111-113.    [点击复制]
  • DU Fu,LIANG Jia-rong,ZHANG Jing-hua.A New Stability Condition of Discrete Singular T-S Fuzzy Systems[J].Guangxi Sciences,2010,17(2):111-113.   [点击复制]
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离散T-S模糊广义系统稳定性的一个新判别条件
杜富1, 梁家荣2, 张晶华1
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(1.广西大学数学与信息科学学院, 广西南宁 530004;2.广西大学计算机与电子信息学院, 广西南宁 530004)
摘要:
利用离散广义Lyapunov方法和分段模糊Lyapunov函数,研究输入采用双交叠模糊分划的离散广义模糊系统的性质,得出新的判定离散T-S模糊广义系统稳定性的充分条件,即在最大交叠规则组内寻求公共正定矩阵,并用算例说明这种方法的有效性.
关键词:  分段模糊Lyapunov函数  离散广义系统  稳定性分析  模糊分划
DOI:
投稿时间:2009-07-24修订日期:2009-10-23
基金项目:国家自然基金项目(60564001),教育部"新世纪优秀人才支持计划"专项基金(NCET-06-0756),广西研究生教育创新计划项目(2007105930812M49)资助。
A New Stability Condition of Discrete Singular T-S Fuzzy Systems
DU Fu1, LIANG Jia-rong2, ZHANG Jing-hua1
(1.School of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China;2.School of Computer and Electronic Information, Guangxi University, Nanning, Guangxi, 530004, China)
Abstract:
Based on stability criteria of discrete singular systems by using Lyapunov method and piecewise fuzzy Lyapunov function, the stability is studied for discrete singular fuzzy systems with their inputs employing two-overlapped fuzzy partition.A new sufficient condition that searches for a common positive-definite symmetric matrices in each maximal overlapped-rule group is obtained to check the stability of the discrete singular T-S fuzzy systems. An example shows the stability result.
Key words:  piecewise fuzzy Lyapunov function  discrete singular system  stability analysis  fuzzy partition

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