奇异摄动系统的一致稳定和镇定（英文）  

Uniformity in stability and stabilizability of singularly perturbed systems

作　　者：Anastasia Wairimu 刘伟[1] 汪志鸣[1] 

机构地区：[1]华东师范大学数学系,上海200241

出　　处：《应用数学与计算数学学报》2016年第1期113-127,共15页Communication on Applied Mathematics and Computation

基　　金：supported by the National Natural Science Foundation of China(11171113);the ECNU Reward for Excellent Doctoral Students in Academics(xrzz2014019);the Science and Technology Commission of Shanghai Municipality(13dz2260400);the Shanghai Key Laboratory of PMMP

摘　　要：针对一类线性时不变奇异摄动系统,研究其在稳定和镇定性方面关于小参数的一致性问题.当小参数处于有界而非闭区间时,将奇异摄动系统视为参数系统.同时,进一步地讨论该系统对小参数的依赖性.最后,利用线性矩阵不等式方法,给出了系统关于小参数具有一致性的稳定和镇定条件.In this paper, the uniformity issue of the small parameter on linear time-invariant singularly perturbed systems is addressed, and stability and stabiliz- ability are studied. A new field of viewing a singularly perturbed system （SPS） as a parameterized system is considered, when the interval of the parameter is within a bound but not closed interval. The dependence of the system on c is discussed for this parameterized system whereby the system orders are reduced as e --~ 0. The linear matrix inequality method is used to show the stability and stabilizability of the two time scale control system. The sufficient condition for the parameterized system to be uniformly stable and uniformly stabilizable has been obtained.

关 键 词：奇异摄动系统 时不变线性系统 线性矩阵不等式 

分 类 号：O175[理学—数学]