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Computational issues for linear periodic systems: paradigms, algorithms, open problems

Varga, Andreas (2013) Computational issues for linear periodic systems: paradigms, algorithms, open problems. International Journal of Control, 86 (7), pp. 1227-1239. Taylor & Francis. doi: 10.1080/00207179.2013.773088. ISSN 0020-7179.



Linear periodic systems originate in various control fields involving periodic phenomena. In the beginnings of algorithmic developments for periodic systems, computational detours have been often employed to reduce the computational problems for periodic systems to those for standard systems. Well-known techniques are the employment of lifted representations in discrete-time or the use of periodic generators in continuous-time. New computational paradigms evolved later, whose main ingredients are numerically reliable and efficient algorithms for manipulating matrix products without forming explicitly them, reduction of large-scale structured matrix pencils without building the underlying pencils, computing with discrete-time periodic system models with time-varying state dimensions, or solving periodic matrix differential equations using multiple shooting techniques. The paper will give a succinct overview of all these new developments and will point out some of still existing open computational problems.

Item URL in elib:https://elib.dlr.de/83551/
Document Type:Article
Title:Computational issues for linear periodic systems: paradigms, algorithms, open problems
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Varga, Andreasandreas.varga (at) dlr.deUNSPECIFIED
Journal or Publication Title:International Journal of Control
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:Yes
DOI :10.1080/00207179.2013.773088
Page Range:pp. 1227-1239
Publisher:Taylor & Francis
Keywords:periodic systems, linear time-varying systems, numerical methods
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Systems & Cabin (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of System Dynamics and Control > Aircraft System Dynamics
Deposited By: Varga, Dr.-Ing. Andreas
Deposited On:30 Jul 2013 16:46
Last Modified:31 Jul 2019 19:41

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