Null controllability with vanishing energy for discrete-time systems

被引：31

作者：

Ichikawa, Akira ^{[1
]}

机构：

[1] Kyoto Univ, Dept Aeronaut & Astronaut, Kyoto 6068501, Japan

来源：

SYSTEMS & CONTROL LETTERS | 2008年 / 57卷 / 01期

关键词：

discrete-time systems; null controllability; optimal regulator; Riccati equation;

D O I：

10.1016/j.sysconle.2007.06.008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper null controllability with vanishing energy for discrete-time systems is considered. As in the case of continuous time systems necessary and sufficient conditions in terms of an algebraic Riccati equation are given. Then necessary and sufficient conditions involving the eigenvalues of the state matrix are given. Reachability and controllability with vanishing energy are also considered and necessary and sufficient conditions for them are given. Finally applications to sampled-data systems, systems with impulse control and periodic systems are discussed. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：34 / 38

页数：5