Solvable Lie algebra condition for stability of linear multidimensional systems

被引：3

作者：

Chu, TG ^{[1
]}

Zhang, CS

Wang, L

机构：

[1] Peking Univ, Dept Engn Sci & Mech, Ctr Syst & Control, Intelligent Control Lab, Beijing 100871, Peoples R China

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

[3] Nanyang Technol Univ, Sch Chem & Biomed Engn, Singapore 639798, Singapore

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2006年 / 51卷 / 02期

关键词：

comparison method; exponential stability; multidimensional systems; solvable Lie algebra;

D O I：

10.1109/TAC.2005.863516

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This note analyzes exponential stability of a class of linear discrete multidimensional systems. Using a multidimensional comparison principle for estimating the system componentwise exponential convergence and a solvable Lie algebra condition, a sufficient condition for exponential stability of linear multidimensional systems is presented. The stability condition can be easily examined by computing the system matrices in finite steps. This is demonstrated by an example.

引用

页码：320 / 324

页数：5

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