New upper matrix boundswith power form for the solution of the continuous coupled algebraic Riccatimatrix equation
New upper matrix boundswith power form for the solution of the continuous coupled algebraic Riccatimatrix equation
复制标题
连续耦合代数Riccati矩阵方程解的新幂形式上矩阵界
DOI：
10.1002/asjc.1400
复制
发表时间：
2017
影响因子：
2.4
通讯作者：
张娟
中科院分区：
文献类型：
--
作者：
刘建州;王艳沛;张娟
利用连续耦合代数Riccati矩阵方程（CCARE）的结构和系数矩阵，首次构造出幂形式的正定矩阵。然后，利用CCARE的变形和正定矩阵的不等式，利用特殊矩阵的性质和特征值不等式，给出了CCARE解的幂形式的矩阵上界，改进和推广了最近的一些结果.最后给出了相应的数值例子来说明所得结果的有效性.
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.