Journal
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Volume 348, Issue 8, Pages 2128-2141Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2011.06.007
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Funding
- National Natural Science Foundation of China [10971176]
- Hunan Provincial Natural Science Foundation of China [10JJ2002]
- Guangdong Provincial Natural Science Foundation of China [10152104101000008]
- Hunan Provincial Innovation Foundation for Postgraduate
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In this paper, by constructing the equivalent form of the continuous algebraic Riccati equation and utilizing the eigenvalue and singular value inequalities of matrix's sum and product, we propose new lower and upper matrix bounds for the solution of the continuous algebraic Riccati equation. Finally, we give corresponding numerical examples to illustrate the effectiveness of our results. (C) 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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