Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/933545

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Title
On the solution of a class of algebraic Riccati equations with repeated unstable eigenvalues
Author/Creator
Rojas, A. J.
Institution
The University of Newcastle. Faculty of Engineering & Built Environment, School of Electrical Engineering and Computer Science
Description
In the present paper we obtain a closed-form solution for the class of continuous-time algebraic Riccati equations (AREs) with vanishing state weight. The AREs in such a class solve a minimum energy control problem. The present work extends on previous preliminary results by considering the more challenging case of repeated unstable eigenvalues. The obtained closed-form solution gives insight on issues such as loss of controllability and it might also prove comparable in terms of numerical precision over current solving algorithms.
Relation
2010 American Control Conference, (ACC 2010). Proceedings of the 2010 American Control Conference (Baltimore, MD 30 June - 2 July, 2010) p. 1111-1116
Relation
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?reload=true&arnumber=5530962
Date
2010
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Keyword(s)
Riccati equations;  continuous time systems;  controllability;  eigenvalues;  eigenfunctions
Resource Type
conference paper
Identifier
http://hdl.handle.net/1959.13/933545
Identifier
ISBN:9781424474264
Identifier
ISSN:0743-1619
Reviewed
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"On the solution of a class of algebraic Riccati equations with repeated unstable eigenvalues"
 
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