On the asymptotic behavior of the projection Riccati differential equation

Frank M. Callier; Joseph Winkin

doi:10.1109/CDC.1994.411229

On the asymptotic behavior of the projection Riccati differential equation

Universite de Namur

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Résumé

The solution of the Riccati differential equation is reported to be asymptotically close to the solution of the projection Riccati differential equation (PRDE). The asymptotic behavior of the latter is analyzed on an explicit formula. The almost periodic asymptote of the solution of the PRDE is computed by an algorithm based upon the concepts of aperiodic- almost-periodic generator decomposition of a linear map, and row-staircase form of a polynomial matrix. The analysis provides ultimately a convergence criterion.

langue originale	Anglais
titre	Proceedings of 1994 33rd IEEE Conference on Decision and Control
rédacteurs en chef	F.M. Callier, J. Winkin
Editeur	IEEE
Pages	1519-1526
Nombre de pages	8
Volume	2
ISBN (imprimé)	0-7803-1968-0
Les DOIs	https://doi.org/10.1109/CDC.1994.411229
Etat de la publication	Publié - 1 déc. 1994
Evénement	Proceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4) - Lake Buena Vista, FL, USA Durée: 14 déc. 1994 → 16 déc. 1994

Une conférence

Une conférence	Proceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4)
La ville	Lake Buena Vista, FL, USA
période	14/12/94 → 16/12/94

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10.1109/CDC.1994.411229

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title = "On the asymptotic behavior of the projection Riccati differential equation",

abstract = "The solution of the Riccati differential equation is reported to be asymptotically close to the solution of the projection Riccati differential equation (PRDE). The asymptotic behavior of the latter is analyzed on an explicit formula. The almost periodic asymptote of the solution of the PRDE is computed by an algorithm based upon the concepts of aperiodic- almost-periodic generator decomposition of a linear map, and row-staircase form of a polynomial matrix. The analysis provides ultimately a convergence criterion.",

author = "Callier, {Frank M.} and Joseph Winkin",

year = "1994",

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Callier, FM & Winkin, J 1994, On the asymptotic behavior of the projection Riccati differential equation. Dans FM Callier & J Winkin (eds), Proceedings of 1994 33rd IEEE Conference on Decision and Control. VOL. 2, IEEE, p. 1519-1526, Proceedings of the 33rd IEEE Conference on Decision and Control. Part 1 (of 4), Lake Buena Vista, FL, USA, 14/12/94. https://doi.org/10.1109/CDC.1994.411229

On the asymptotic behavior of the projection Riccati differential equation. / Callier, Frank M.; Winkin, Joseph.
Proceedings of 1994 33rd IEEE Conference on Decision and Control. Ed. / F.M. Callier; J. Winkin. Vol 2 IEEE, 1994. p. 1519-1526.

Résultats de recherche: Contribution dans un livre/un catalogue/un rapport/dans les actes d'une conférence › Article dans les actes d'une conférence/un colloque

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AB - The solution of the Riccati differential equation is reported to be asymptotically close to the solution of the projection Riccati differential equation (PRDE). The asymptotic behavior of the latter is analyzed on an explicit formula. The almost periodic asymptote of the solution of the PRDE is computed by an algorithm based upon the concepts of aperiodic- almost-periodic generator decomposition of a linear map, and row-staircase form of a polynomial matrix. The analysis provides ultimately a convergence criterion.

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On the asymptotic behavior of the projection Riccati differential equation

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