Varga, Andreas and Johansson, S. and Shiriaev, A. (2007) Comparing one-shot and multi-shot methods for solving periodic of Riccati differential equations. In: Proceedings of IFAC Workshop on Periodic Control Systems, St. Petersburg, Russia. IFAC 2007, St. Petersburg, Russia.
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Abstract
Abstract - One-shot methods and recently proposed multi-shot methods for computing stabilizing solutions of continuoustime periodic Riccati differential equations are examined and evaluated on two test problems. The first problem arises from a stabilization problem for an artificially constructed time-varying linear systems for which the exact solution is known. The second problem originates from a nonlinear stabilization problem for numercial comparisons have been performed using both general purpose and symplectic integration methods for solving the associated Hamiltontian differential systems. In the multi-shot method a stable subspace is determined using recently published algorithms for computing a reodered periodic real Schur form. The obtained results show the increased accuracy achievable by combining multi-shot methods with structure preserving (symplectic) integration techniques.
Item URL in elib: | https://elib.dlr.de/51295/ | ||||||||||||
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Document Type: | Conference or Workshop Item (Speech, Paper) | ||||||||||||
Title: | Comparing one-shot and multi-shot methods for solving periodic of Riccati differential equations | ||||||||||||
Authors: |
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Date: | 2007 | ||||||||||||
Journal or Publication Title: | Proceedings of IFAC Workshop on Periodic Control Systems, St. Petersburg, Russia | ||||||||||||
Refereed publication: | Yes | ||||||||||||
Open Access: | Yes | ||||||||||||
Gold Open Access: | No | ||||||||||||
In SCOPUS: | No | ||||||||||||
In ISI Web of Science: | No | ||||||||||||
Status: | Published | ||||||||||||
Keywords: | - | ||||||||||||
Event Title: | IFAC 2007 | ||||||||||||
Event Location: | St. Petersburg, Russia | ||||||||||||
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: | Klauer, Monika | ||||||||||||
Deposited On: | 09 Jun 2008 | ||||||||||||
Last Modified: | 31 Jul 2019 19:20 |
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