分数阶退化系统的可容许性分析  

Admissibility of Fractional Order Singular System

作　　者：刘婷婷[1] 杨礼昌 蒋威[1] 盛家乐 LIU Tingting;YANG Lichang;JIANG Wei;SHENG Jiale(School of Mathematical Sciences,Anhui University,230601,Hefei,Anhui,China)

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《淮北师范大学学报（自然科学版）》2018年第3期6-11,共6页Journal of Huaibei Normal University：Natural Sciences

基　　金：国家自然科学基金项目(11371027;10671182;11471015)

摘　　要：文章研究分数阶退化系统的可容许性.根据严格无等式约束线性矩阵不等式,给出分数阶退化系统及相应闭环系统的可容许性的充分必要条件.最后给出几个数值例子来验证结论的可行性.In this paper,we mainly study the admissibility of fractional order singular system.The necessary and sufficient condition of admissibility for fractional order singular system and corresponding closed-loop system are derived by constructing a strict linear matrix inequality without equality constraint.Finally,some numerical examples are presented to verify the feasibility of the main results.

关 键 词：分数阶 退化系统 可容许性 线性矩阵不等式 

分 类 号：O175.6[理学—数学]