Refined Upper Solution Bound of the Continuous Coupled Algebraic Riccati Equation
The continuous coupled algebraic Riccati equation (CCARE) has wide applications in control theory and linear systems. In this paper, by a constructed positive semidefinite matrix, matrix inequalities, and matrix eigenvalue inequalities, we propose a new two-parameter-type upper solution bound of the...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8627492 |
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| _version_ | 1850177694584537088 |
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| author | Li Wang |
| author_facet | Li Wang |
| author_sort | Li Wang |
| collection | DOAJ |
| description | The continuous coupled algebraic Riccati equation (CCARE) has wide applications in control theory and linear systems. In this paper, by a constructed positive semidefinite matrix, matrix inequalities, and matrix eigenvalue inequalities, we propose a new two-parameter-type upper solution bound of the CCARE. Next, we present an iterative algorithm for finding the tighter upper solution bound of CCARE, prove its boundedness, and analyse its monotonicity and convergence. Finally, corresponding numerical examples are given to illustrate the superiority and effectiveness of the derived results. |
| format | Article |
| id | doaj-art-c3ee01bfa9694ff8b9ec542e0f9f826e |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-c3ee01bfa9694ff8b9ec542e0f9f826e2025-08-20T02:18:55ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/86274928627492Refined Upper Solution Bound of the Continuous Coupled Algebraic Riccati EquationLi Wang0School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan, Hunan 411201, ChinaThe continuous coupled algebraic Riccati equation (CCARE) has wide applications in control theory and linear systems. In this paper, by a constructed positive semidefinite matrix, matrix inequalities, and matrix eigenvalue inequalities, we propose a new two-parameter-type upper solution bound of the CCARE. Next, we present an iterative algorithm for finding the tighter upper solution bound of CCARE, prove its boundedness, and analyse its monotonicity and convergence. Finally, corresponding numerical examples are given to illustrate the superiority and effectiveness of the derived results.http://dx.doi.org/10.1155/2020/8627492 |
| spellingShingle | Li Wang Refined Upper Solution Bound of the Continuous Coupled Algebraic Riccati Equation Complexity |
| title | Refined Upper Solution Bound of the Continuous Coupled Algebraic Riccati Equation |
| title_full | Refined Upper Solution Bound of the Continuous Coupled Algebraic Riccati Equation |
| title_fullStr | Refined Upper Solution Bound of the Continuous Coupled Algebraic Riccati Equation |
| title_full_unstemmed | Refined Upper Solution Bound of the Continuous Coupled Algebraic Riccati Equation |
| title_short | Refined Upper Solution Bound of the Continuous Coupled Algebraic Riccati Equation |
| title_sort | refined upper solution bound of the continuous coupled algebraic riccati equation |
| url | http://dx.doi.org/10.1155/2020/8627492 |
| work_keys_str_mv | AT liwang refineduppersolutionboundofthecontinuouscoupledalgebraicriccatiequation |