On the characterization of the controllability property for linear control systems on nonnilpotent, solvable three-dimensional Lie groups

被引：17
|
作者：
Ayala, Victor [1 ]
Da Silva, Adriano [2 ]
机构：
[1] Univ Tarapaca, Inst Alta Invest, Sede Iquique, Iquique, Chile
[2] Univ Estadual Campinas, Inst Matemat, Cx Postal 6065, BR-13081970 Campinas, SP, Brazil
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 266卷 / 12期
基金：
巴西圣保罗研究基金会;
关键词：
Solvable Lie groups; Linear control systems; Derivation; Controllability;
D O I：
10.1016/j.jde.2018.12.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we show that a complete characterization of the controllability property for linear control system on three-dimensional solvable nonnilpotent Lie groups is possible by the LARC and the knowledge of the eigenvalues of the derivation associated with the drift of the system. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：8233 / 8257
页数：25
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