New Upper Matrix Bounds with Power Form for the Solution of the Continuous Coupled Algebraic Riccati Matrix Equation |
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Authors: | Jianzhou Liu Yanpei Wang Juan Zhang |
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Affiliation: | 1. Department of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411105, China;2. College of Science, National University of Defense Technology, Changsha, Hunan 410073, China |
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Abstract: | In this paper, using the structure and coefficient matrix of the continuous coupled algebraic Riccati matrix equation (CCARE), we firstly construct positive definite matrices with power form. Then, applying the variant of the CCARE and inequalities of positive definite matrices, utilizing the characteristics of special matrices and eigenvalue inequalities, we propose new upper matrix bounds with power form for the solution of the CCARE, which improve and extend some of the recent results. Finally, we give corresponding numerical examples to illustrate the effectiveness of the derived results. |
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Keywords: | Eigenvalue continuous coupled algebraic Riccati equation Matrix bound |
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