期刊论文详细信息
Proceedings of the Estonian Academy of Sciences
On the properties of forward and backward shifts of vector fields; pp. 314–325
article
Arvo Kaldmäe1  Vadim Kaparin1  Ülle Kotta1  Tanel Mullari1  Ewa Pawluszewicz1 
[1] Department of Chemistry and Biotechnology, School of Science, Tallinn University of Technology
关键词: control theory;    nonlinear control system;    discrete-time system;    algebraic approach;    forward and backward shifts;    vectorfields;    commutativity.;   
DOI  :  10.3176/proc.2022.4.02
学科分类:内科医学
来源: Teaduste Akadeemia Kirjastus
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【 摘 要 】

The paper investigates some properties of recently defined forward and backward shifts of vector fields. The main purpose of the paper is to show that the forward and backward shifts of vector fields commute with the Lie bracket operator and with some commonly used system transformations. The latter include, for example, classical and parametrized state transformations as well as static and dynamic state feedbacks. These properties become important when studying control problems involving such transformations.

【 授权许可】

CC BY   

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