Generalized regularity and regularizability of rectangular descriptor systems  

作　　者：Guangren DUAN Yan CHEN 

机构地区：[1]Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin Heilongjiang 150001, China

出　　处：《控制理论与应用（英文版）》2007年第2期159-163,共5页

基　　金：the Chinese Outstanding Youth Foundation(No. 69925308);the Program for Changjiang Scholars and Innovative Research Team in University.

摘　　要：The notion of generalized regularity is proposed for rectangular descriptor systems. Generalized regularizability of a rectangular descriptor system via different feedback forms is considered. Necessary and sufficient conditions for generalized regularizability are obtained, which are only dependent upon the open-loop coefficient matrices. It is also shown that under these necessary and sufficient conditions, all the generalized regularizing feedback controllers form a Zarisky open set. A numerical example demonstrates the proposed results.The notion of generalized regularity is proposed for rectangular descriptor systems. Generalized regularizability of a rectangular descriptor system via different feedback forms is considered. Necessary and sufficient conditions for generalized regularizability are obtained, which are only dependent upon the open-loop coefficient matrices. It is also shown that under these necessary and sufficient conditions, all the generalized regularizing feedback controllers form a Zarisky open set. A numerical example demonstrates the proposed results.

关 键 词：Generalized regularity Generalized regularizability Rectangular descriptor systems Generalized regularizing feedback controllers 

分 类 号：O231[理学—运筹学与控制论]