Linear cone-invariant control systems and their equivalence

被引：3
|
作者：
Malesza, Wiktor [1 ]
Respondek, Witold [2 ]
机构：
[1] Warsaw Univ Technol, Inst Control & Ind Elect, Fac Elect Engn, Warsaw, Poland
[2] Normandie Univ, INSA Rouen, Lab Math, St Etienne Du Rouvray, France
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2018年 / 91卷 / 08期
关键词：
Linear control systems; invariance; cone systems; positive systems; state-equivalence; feedback-equivalence; CONTINUOUS-TIME SYSTEMS; SETS; EXISTENCE;
D O I：
10.1080/00207179.2017.1333153
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we study invariant control systems that generalise positive systems. A characterisation of linear control systems invariant on polyhedral cones (corner regions) in the state-space, called cone-invariant linear control systems, is established both for the inputs taking values in a polyhedral cone in the control space and for the inputs taking values in an affine polyhedral cone. The problem of equivalence between control systems invariant on corner regions is introduced. For cone-invariant linear control systems, we study invariance-preserving state-equivalence and invariance-preserving feedback-equivalence and present characterisations of both notions of equivalence.
引用
收藏
页码：1818 / 1834
页数：17
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