A GEOMETRIC CHARACTERIZATION OF THE REACHABLE AND THE CONTROLLABLE SUBSPACES OF DESCRIPTOR SYSTEMS

被引：37

作者：

OZCALDIRAN, K

机构：

[1] Georgia Inst of Technology, Atlanta,, GA, USA, Georgia Inst of Technology, Atlanta, GA, USA

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 1986年 / 5卷 / 01期

关键词：

MATHEMATICAL TECHNIQUES - State Space Methods;

D O I：

10.1007/BF01600185

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The concepts of left brace A,E,R(B) right brace and restricted left brace E,A,R(B) right brace invariance are introduced. The reachable subspace of a descriptor system is shown to be the supremal left brace A,E,R(B) right brace -invariant subspace contained in the least restricted left brace E,A,R(B) right brace subspace of R**n. Algorithms to compute the reachable subspace of a descriptor system E(dx/dt) equals Ax plus Bu in terms of E,A and B are given. A new proof of the feedback invariance of the reachable subspace is presented.

引用

页码：37 / 48

页数：12

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