Varga, Andreas (2005) On solving periodic differential matrix equations with applications to periodic system norms computation. In: Proc. of CDC'05. CDC'05, Seville (Spain).
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Abstract
Periodic Lyapunov, Sylvester and Riccati differ- ential equations have many important applications in the analysis and design of linear periodic control systems. For the numerical solution of these equations efficient numerically reliable algorithms based on the periodic Schur decomposition are proposed. The new multi-shot type algorithms compute periodic solutions in an arbitrary number of time moments within one period by employing suitable discretizations of the continuous-time problems. In contrast to traditionally used one- shot periodic generator methods, the multi-shot type methods have the advantage to be able to address problems with large periods and/or unstable dynamics. Applications of the proposed techniques to compute several system norms are presented.
Item URL in elib: | https://elib.dlr.de/20278/ | ||||||
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Document Type: | Conference or Workshop Item (Speech) | ||||||
Title: | On solving periodic differential matrix equations with applications to periodic system norms computation | ||||||
Authors: |
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Date: | 12 December 2005 | ||||||
Journal or Publication Title: | Proc. of CDC'05 | ||||||
Refereed publication: | Yes | ||||||
Open Access: | Yes | ||||||
Gold Open Access: | No | ||||||
In SCOPUS: | No | ||||||
In ISI Web of Science: | No | ||||||
Status: | Published | ||||||
Keywords: | periodic system, linear system, differential matrix equations, namen cal methods | ||||||
Event Title: | CDC'05 | ||||||
Event Location: | Seville (Spain) | ||||||
Event Type: | international Conference | ||||||
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 Robotics and Mechatronics (until 2012) > System Dynamics and Control (former Control Design Engineering) | ||||||
Deposited By: | Jaschinski, Astrid | ||||||
Deposited On: | 27 Aug 2007 | ||||||
Last Modified: | 31 Jul 2019 19:16 |
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