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Öğe Improved upper bounds for the solution of the continuous algebraic Riccati matrix equation(ELSEVIER SCIENCE INC, 2013) Ulukok, Zubeyde; Turkmen, RamazanIn this paper, we present upper bounds for the solution matrix of the continuous algebraic Riccati matrix equation (CARE) by utilizing some matrix inequalities and linear algebraic techniques. Also, for the derived each bounds, iterative algorithms are developed to obtain tighter solution estimates. Having compared some appearing results in the literature, the obtained bounds are less restrictive and more efficient. Finally, numerical examples are given to illustrate the effectiveness of the proposed results. (C) 2013 Elsevier Inc. All rights reserved.Öğe New upper bounds on the solution matrix to the continuous algebraic Riccati matrix equation(PERGAMON-ELSEVIER SCIENCE LTD, 2013) Ulukok, Zubeyde; Turkmen, RamazanIn this paper, new upper bounds for the solution matrix of the continuous algebraic Riccati matrix equation (CARE) are derived by means of some matrix inequalities and linear algebraic techniques. Furthermore, for the derived each bound, iterative algorithms are developed to obtain sharper solution estimates. Comparing with some appearing results in the literature, the presented bounds are less restrictive and more efficient. Finally, numerical examples are given to illustrate the effectiveness of the proposed results. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.Öğe Some Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation(HINDAWI PUBLISHING CORPORATION, 2013) Ulukok, Zubeyde; Turkmen, RamazanWe 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.