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 t...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/792782 |
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| _version_ | 1832565084675637248 |
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| author | Zübeyde Ulukök Ramazan Türkmen |
| author_facet | Zübeyde Ulukök Ramazan Türkmen |
| author_sort | Zübeyde Ulukök |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-2c843eaa2f1d4e7fadd954c490122f83 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2c843eaa2f1d4e7fadd954c490122f832025-02-03T01:09:23ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/792782792782Some Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix EquationZübeyde Ulukök0Ramazan Türkmen1Department of Mathematics, Science Faculty, Selçuk University, 42031 Konya, TurkeyDepartment of Mathematics, Science Faculty, Selçuk University, 42031 Konya, TurkeyWe 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.http://dx.doi.org/10.1155/2013/792782 |
| spellingShingle | Zübeyde Ulukök Ramazan Türkmen Some Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation Journal of Applied Mathematics |
| title | Some Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation |
| title_full | Some Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation |
| title_fullStr | Some Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation |
| title_full_unstemmed | Some Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation |
| title_short | Some Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation |
| title_sort | some upper matrix bounds for the solution of the continuous algebraic riccati matrix equation |
| url | http://dx.doi.org/10.1155/2013/792782 |
| work_keys_str_mv | AT zubeydeulukok someuppermatrixboundsforthesolutionofthecontinuousalgebraicriccatimatrixequation AT ramazanturkmen someuppermatrixboundsforthesolutionofthecontinuousalgebraicriccatimatrixequation |