CONTROLLABILITY OF LINEAR SYSTEMS ON SOLVABLE LIE GROUPS

被引：38

作者：

Da Silva, Adriano ^{[1
]}

机构：

[1] Univ Estadual Campinas, Inst Matemat, BR-13081970 Campinas, SP, Brazil

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2016年 / 54卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

controllability; linear systems; Lie groups;

D O I：

10.1137/140998342

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Linear systems on Lie groups are a natural generalization of linear systems on Euclidian spaces. For such systems, this paper studies controllability by taking into consideration the eigenvalues of an associated derivation D. When the state space is a solvable connected Lie group, controllability of the system is guaranteed if the reachable set of the neutral element is open and the derivation D has only pure imaginary eigenvalues. For bounded systems on nilpotent Lie groups such conditions are also necessary.

引用

页码：372 / 390

页数：19

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