On the solution of a class of algebraic Riccati equations with repeated unstable eigenvalues

Title: On the solution of a class of algebraic Riccati equations with repeated unstable eigenvalues
Creator: Rojas, A. J.
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
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2010
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.
Subject: Riccati equations; continuous time systems; controllability; eigenvalues; eigenfunctions
Identifier: http://hdl.handle.net/1959.13/933545
Identifier: uon:11653
Identifier: ISBN:9781424474264
Identifier: ISSN:0743-1619
Language: eng
Reviewed

		Thumbnail	File	Description	Size	Format