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Feng, Yantao und Varga, Andreas und Anderson, Brian D.O. und Lovera, Marco (2011) A new iterative algorithm to solve periodic Riccati differential equations with sign indefinite quadratic terms. IEEE Transactions on Automatic Control, 56 (4), Seiten 929-934. IEEE - Institute of Electrical and Electronics Engineers. doi: 10.1109/TAC.2010.2101710. ISSN 0018-9286.
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Kurzfassung
An iterative algorithm to solve periodic Riccati differential equations (PRDE) with an indefinite quadratic term is proposed. In our algorithm, we replace the problem of solving a PRDE with an indefinite quadratic term by the problem of solving a sequence of PRDEs with a negative semidefinite quadratic term which can be solved by existing methods. The global convergence and the local quadratic rate of convergence are both established. A numerical example is given to illustrate our algorithm.
| elib-URL des Eintrags: | https://elib.dlr.de/69761/ | ||||||||||||||||||||
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| Dokumentart: | Zeitschriftenbeitrag | ||||||||||||||||||||
| Titel: | A new iterative algorithm to solve periodic Riccati differential equations with sign indefinite quadratic terms | ||||||||||||||||||||
| Autoren: |
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| Datum: | April 2011 | ||||||||||||||||||||
| Erschienen in: | IEEE Transactions on Automatic Control | ||||||||||||||||||||
| Referierte Publikation: | Ja | ||||||||||||||||||||
| Open Access: | Ja | ||||||||||||||||||||
| Gold Open Access: | Nein | ||||||||||||||||||||
| In SCOPUS: | Ja | ||||||||||||||||||||
| In ISI Web of Science: | Ja | ||||||||||||||||||||
| Band: | 56 | ||||||||||||||||||||
| DOI: | 10.1109/TAC.2010.2101710 | ||||||||||||||||||||
| Seitenbereich: | Seiten 929-934 | ||||||||||||||||||||
| Verlag: | IEEE - Institute of Electrical and Electronics Engineers | ||||||||||||||||||||
| ISSN: | 0018-9286 | ||||||||||||||||||||
| Status: | veröffentlicht | ||||||||||||||||||||
| Stichwörter: | periodic systems, linear time-varying systems, computational methods, satellite control, periodic Riccati differential equations | ||||||||||||||||||||
| HGF - Forschungsbereich: | Verkehr und Weltraum (alt) | ||||||||||||||||||||
| HGF - Programm: | Weltraum (alt) | ||||||||||||||||||||
| HGF - Programmthema: | W RP - Raumtransport | ||||||||||||||||||||
| DLR - Schwerpunkt: | Weltraum | ||||||||||||||||||||
| DLR - Forschungsgebiet: | W RP - Raumtransport | ||||||||||||||||||||
| DLR - Teilgebiet (Projekt, Vorhaben): | W - Raumfahrzeugsysteme - Numerische Verfahren und Simulation (alt) | ||||||||||||||||||||
| Standort: | Oberpfaffenhofen | ||||||||||||||||||||
| Institute & Einrichtungen: | Institut für Systemdynamik und Regelungstechnik | ||||||||||||||||||||
| Hinterlegt von: | Varga, Dr.-Ing. Andreas | ||||||||||||||||||||
| Hinterlegt am: | 10 Mai 2011 15:03 | ||||||||||||||||||||
| Letzte Änderung: | 31 Jul 2019 19:31 |
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