DocumentCode
646504
Title
On an automatic generation of nilpotent systems
Author
Duleba, Ignacy
Author_Institution
Inst. of Comput. Eng., Control & Robot., Wroclaw Univ. of Technol., Wroclaw, Poland
fYear
2013
fDate
26-29 Aug. 2013
Firstpage
293
Lastpage
298
Abstract
In this paper a detailed description of constructive algorithms aimed at generating controllable nilpotent systems is presented. Exemplary nilpotent systems with varied degree of nilpotency, number of generators and state space dimensionality are provided. Some combinatorial questions concerning a structure of the systems are stated and answered. Nilpotent systems can serve as useful models for practical and benchmark problems in control and motion planning tasks.
Keywords
Lie algebras; controllability; path planning; vectors; constructive algorithms; control task; controllable nilpotent systems; motion planning task; nilpotency degree; Abstracts; Algorithm design and analysis; Generators; Indexes; Polynomials; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Methods and Models in Automation and Robotics (MMAR), 2013 18th International Conference on
Conference_Location
Miedzyzdroje
Print_ISBN
978-1-4673-5506-3
Type
conf
DOI
10.1109/MMAR.2013.6669922
Filename
6669922
Link To Document