Sufficient conditions for dispersiveness of invariant control affine systems on the Heisenberg group

被引：7

作者：

Souza, Josiney A. ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil

来源：

SYSTEMS & CONTROL LETTERS | 2019年 / 124卷

关键词：

Control affine system; Heisenberg group; Dispersiveness; LINEAR-SYSTEMS; SETS;

D O I：

10.1016/j.sysconle.2018.12.004

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The notion of dispersiveness in control systems is characterized by the absence of recursive properties. It implies uncontrollability and Poisson instability. The present manuscript exhibits sufficient conditions for an invariant control affine system on the Heisenberg group to be dispersive. For a control affine system with pairwise commutative matrices, the condition for dispersiveness is the drift not depend linearly on the controlled matrices. For a general control affine system, with bounded control range, the condition is the drift not be an affine transformation of the controlled matrices. These results consequently yield necessary conditions for controllability. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：68 / 74

页数：7

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