没有互素因子分解的同时镇定控制器设计  

Simultaneously stabilizing controllers design for time-varying linear systems without coprime factorizability

作　　者：于天秋 谭超 YU Tianqiu;TAN Chao(School of Mathematical Sciences,Heilongjiang University,Harbin 150080,China;School of Mathematical Sciences,Capital Normal University,Beijing 100048,China)

机构地区：[1]黑龙江大学数学科学学院,哈尔滨150080 [2]首都师范大学数学科学学院,北京100048

出　　处：《黑龙江大学自然科学学报》2018年第3期253-259,共7页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(11501182)

摘　　要：给出套代数框架下,没有互素因子分解的线性时变系统同时镇定控制器的一个新的设计方法;建立某类线性时变系统同时镇定控制器的参数化表示,这些结果在时不变情形下也是成立的。Under the framework of nest algebras,a new methodology is presented to design simultaneously stabilizing controllers for time-varying linear systems without coprime factorizability. A parameterization of simultaneously stabilizing controllers for a class of time-varying linear systems is established. These results hold as well in the time-invariant case.

关 键 词：同时镇定 控制器 线性时变系统 套代数 互素因子分解 

分 类 号：O177.1[理学—数学]