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On solving periodic differential matrix equations with applications to periodic system norms computation

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.

Document Type:Conference or Workshop Item (Speech)
Title:On solving periodic differential matrix equations with applications to periodic system norms computation
Authors:
AuthorsInstitution or Email of Authors
Varga, AndreasUNSPECIFIED
Date:12 December 2005
Journal or Publication Title:Proc. of CDC'05
Refereed publication:Yes
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
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Systems & Cabin
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics > System Dynamics and Control (former Control Design Engineering)
Deposited By: Astrid Jaschinski
Deposited On:27 Aug 2007
Last Modified:12 Dec 2013 20:08

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