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对称正定解     
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  symmetric positive definite solution
     THE SYMMETRIC POSITIVE DEFINITE SOLUTION OF THE MATRIX EQUATION AXA~T +BYB~T =C
     矩阵方程 AXA~T+BYB~T=C的对称正定解
短句来源
     In this paper,the positive definite,quadratic form V.function is constructed by the symmetric,positive definite solution of Riccati matrix equation,and the decomposition problem of constant large-scale control systems in the theory of stabilization is given by the decomposition method of Liapunov function.
     文中选取Riccati矩阵方程的对称正定解,做出了二次型正定V函数。 应用李雅普诺夫函数分解法,给出了大型定常控制系统在稳定化理论中的分解问题。
短句来源
     We study symmetric positive definite solution of the matrix equation AXA T +BYB T =C ,where A is a given real m×n matrix, B is given real m×p matrix,and C is a given real m×m matrix ,whth m,n,p positive integers.
     本文研究矩阵方程 AXAT+BYBT=C的对称正定解 .
短句来源
     The problem of eigenvalue for the single symmetric positive definite solution \$X\$ of discrete time algebra Riccati equation (DTARE) is studied. Through identical deformation of matrix, a new analytical method is given.
     针对离散时间代数Riccati方程DTARE的唯一对称正定解X的特征值 ,通过矩阵的恒等变形 ,给出了一种新的分析方法 .
短句来源
     In this paper,by using the formula of matrix inversion an equivalent form of the general discrete time algebraic Riccati equation isproposed,the upper and lower matrix bounds and the extreme eigenvalue bounds of the symmetric positive definite solution matrix P are also given.
     利用矩阵求逆公式,推导出一般离散时间代数R iccati方程的等价形式,给出其对称正定解矩阵P的上、下界及其极特征值的上、下界;
短句来源
  symmetric positive definite solutions
     SYMMETRIC POSITIVE DEFINITE SOLUTIONS OF MATRIX EQUATIONS (AX,XB)=(C,D) AND AXB=C
     矩阵方程(AX,XB)=(C,D)和AXB=C的对称正定解
短句来源
     On the Symmetric Positive Definite Solutions of Matrix Equation AX=B, XC=D and AXB=D
     关于矩阵方程AX=B,XC=D及AXB=D的对称正定解
短句来源
     The symmetric positive definite solutions of matrix equations (AX,XB)=(C,D) and AXB=C are considered in this paper.
     讨论了矩阵方程(AX,XB)=(C,D)和AXB=C的对称正定解
短句来源
     A necessary and sufficient condition for matrix equations AX=B, XC=D and AXB=D to have symmetric positive definite solutions is obtained by using SVD and generalized inverses of matrices, and the explicit representation of general solutions is also given.
     借助于矩阵的奇异值分解及矩阵的广义逆 ,给出了矩阵方程AX =B ,XC =D及AXB =D有对称正定解的充分必要条件 ,并在有解的情况下 ,给出了通解的显式表示。
短句来源
  symmetric positive solution
     Symmetric positive solution of Lyapunov inequality
     Lyapunov不等式的对称正定解
短句来源
     An H_∞ robust controller which can guarantee robustness of the system was obtained by solving the Riccati inequality with symmetric positive solution.
     基于Riccati不等式的处理方法,通过求Riccati不等式的对称正定解得到H∞控制器,以保证系统的鲁棒性.
短句来源
  “对称正定解”译为未确定词的双语例句
     Necessary and Sufficient Conditions for the Existence of a Positive Definite Solution of the Matrix Equation X+A~*X~(-2)A=I
     矩阵方程X+A~*X~(-2)A =I有对称正定解的充分必要条件(英文)
短句来源
     Then,a controller,for standard H_∞ control problems,is obtained through solving an algebraic matrix Riccati equation with symmetrically positive solution,namely,robust H_∞ controller for system with uncertainty.
     对标准H∞控制问题,可通过求解代数Riccati矩阵方程的对称正定解求得控制器,也就是不确定系统的鲁棒H∞控制器.
短句来源
     Then, a controller, for standard H∞ control problems, is obtained through solving an algebraic matrix Riccati equation with symmetrically positive solution, namely, robust H∞ controller for system with uncertainty.
     对标准H_∞控制问题,可通过求解代数Riccati矩阵方程的对称正定解求得控制器,也就是不确定系统的鲁棒H_∞控制器。
短句来源
     Then,a controller,for standard H ∞ control problems,is obtained through solving an algebraic matrix Riccati equation with symmetrically positive solution,that is robust H ∞ controller for system with uncertainty.
     对标准H∞ 控制问题 ,可通过求解代数Riccati矩阵方程的对称正定解求得控制器 ,也就是不确定系统的鲁棒H∞ 控制器。
短句来源
     Then,a controller,for standard H∞ control problem,is obtained through solving an algebraic matrix Riccati equation with symmetrically positive solution,namely,robust H∞ controller for system with uncertainty.
     对标准H∞控制问题,可通过求解代数Riccati矩阵方程的对称正定解求得控制器,也就是不确定系统的鲁棒H∞控制器.
短句来源
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  symmetric positive definite solution
Making use of the symmetric positive definite solution of Riccati matrix differential equation which corresponds to the linear time varying control system, we construct the Lyapunov function.
      


It has always been met the generalized inverse eigenvalue problem in accordence with the practical problems. In this paper, a class of left and right inverse eigenvalue problems for positive definite symmetric and positive semidefinite symmetric matrices is investigated. The conditions of existing solutions with necessity and sufficency and their expression of solutions of symmetric, positive definite and positive semidefinite solutions for this problem are given.

针对实际问题中经常遇到广义特征值的逆问题 ,研究了一类对称正定及半正定的左右逆特征问题 ,给出了这类问题的对称解 ,对称正定解 ,对称半正定解存在的充要条件与其解的表达式 .

 
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