An algebraic approach to strong stabilizability of linear ηD MIMO systems

被引：13

作者：

Lin, ZP ^{[1
]}

Ying, JQ

Xu, L

机构：

[1] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

[2] Gifu Univ, Fac Reg Studies, Gifu 501, Japan

[3] Akita Prefecture Univ, Dept Elect & Informat Syst, Akita 0150055, Japan

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2002年 / 47卷 / 09期

关键词：

algebraic approach; feedback stabilization; multidimensional systems; strong stabilizability;

D O I：

10.1109/TAC.2002.802759

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Although some necessary conditions for the strong stabilizability of linear multidimensional (nD) multiple-input-multiple-output (MIMO) systems have been available recently, very little is known about sufficient conditions for the same problem. This note presents two sufficient conditions for strong stabilizability of some classes of linear nD MIMO systems obtained using an algebraic approach. A simple necessary and sufficient condition is also given for the strong stabilizability of a special class of linear nD MIMO systems. An advantage of the proposed algebraic approach is that a stable stabilizing compensator can be constructed for an nD plant satisfying the sufficient conditions for the strong stabilizability presented in this note. Illustrative examples are given.

引用

页码：1510 / 1514

页数：5