- Title
- Closed-form solution for a class of continuous-time algebraic Riccati equations
- Creator
- Rojas, Alejandro J.
- Relation
- 48th IEEE Conference on Decision and Control, 2009 held jointly with the 28th Chinese Control Conference, 2009 (CDC/CCC 2009). Proceedings of the 48th IEEE Conference on Decision and Control 2009, held jointly with the 28th Chinese Control Conference 2009, CDC/CCC 2009 (Shanghai, China 15-18 December, 2009) p. 5051-5056
- Publisher Link
- http://dx.doi.org/10.1109/CDC.2009.5399715
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2009
- Description
- In the present paper we obtain a closed-form solution for the class of continuous-time algebraic Riccati equations (ARE) with vanishing state weight, whenever the unstable eigenvalues are distinct. The AREs in such a class solve a minimum energy control problem. 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.
- Subject
- Riccati equations; continuous time systems; eigenvalues and eigenfunctions; power control
- Identifier
- http://hdl.handle.net/1959.13/918887
- Identifier
- uon:8732
- Identifier
- ISBN:9781424438723
- Rights
- Copyright © 2009 IEEE. Reprinted from the Proceedings of the 48th IEEE Conference on Decision and Control 2009, held jointly with the 28th Chinese Control Conference 2009, CDC/CCC 2009. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of University of Newcastle's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
- Language
- eng
- Full Text
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