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.
作者
刘婷婷
杨礼昌
蒋威
盛家乐
LIU Tingting;YANG Lichang;JIANG Wei;SHENG Jiale(School of Mathematical Sciences,Anhui University,230601,Hefei,Anhui,China)
出处
《淮北师范大学学报（自然科学版）》
CAS
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)
关键词
分数阶
退化系统
可容许性
线性矩阵不等式
fractional order
singular system
admissibility
linear matrix inequality
