Algebraic conditions for controllability and reachability of time-varying discrete-time linear systems

被引：0

作者：

Molnár, S ^{[1
]}

Szigeti, F ^{[1
]}

机构：

[1] Szent Istvan Univ, Dept Informat, Budapest, Hungary

来源：

CONTROL APPLICATIONS OF OPTIMISATION 2003 | 2003年

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For discrete-time linear systems, controllability and reachability are not equivalent. Instead of the well-known Kalman's rank condition, which characterizes reachability, controllability to origin of the time invariant, discrete-time linear system is equivalent to the Fuhrmann's rank condition. In the first part of this paper we prove that controllability to origin of time varying discrete-time linear systems, under a difference-algebraic condition, is equivalent to a generalized Fuhrmann's rank condition. In the second part we prove that reachability and observability, for time varying discrete-time linear systems are equivalent to a structured Kalman's rank condition, under the difference algebraic independence of the structure matrices. Copyright (C) 2003 IFAC.

引用

页码：81 / 85

页数：5