Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2013 (2013), Article ID 792782, 9 pages.
Some Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation
We propose diverse upper bounds for the solution matrix of the continuous algebraic Riccati matrix equation (CARE) by building the equivalent form of the CARE and using some matrix inequalities and linear algebraic techniques. Finally, numerical example is given to demonstrate the effectiveness of the obtained results in this work as compared with some existing results in the literature. These new bounds are less restrictive and provide more efficient results in some cases.
J. Appl. Math., Volume 2013 (2013), Article ID 792782, 9 pages.
First available in Project Euclid: 14 March 2014
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Ulukök, Zübeyde; Türkmen, Ramazan. Some Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation. J. Appl. Math. 2013 (2013), Article ID 792782, 9 pages. doi:10.1155/2013/792782. https://projecteuclid.org/euclid.jam/1394808254