Some Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation

Zübeyde Ulukök, Ramazan Türkmen
2013 Journal of Applied Mathematics  
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.
doi:10.1155/2013/792782 fatcat:e5th6fppn5ekjjmklpnmztvmuq