On Solutions of Inverse Problem for Hermitian Generalized Hamiltonian Matrices
On Solutions of Inverse Problem for Hermitian Generalized Hamiltonian Matrices
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DOI：
10.4028/www.scientific.net/amr.860-863.2727
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发表时间：
2013-12
期刊：
影响因子：
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通讯作者：
K. Liang;M. Li;Ze Lin Zhu
中科院分区：
文献类型：
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作者：
K. Liang;M. Li;Ze Lin Zhu
哈密顿矩阵在设计自动化和自动控制方面有许多应用，特别是在线性二次型自动控制问题中。本文研究了矩阵方程的广义哈密顿矩阵反问题。通过复矩阵的实数表示，给出了矩阵方程的厄米广义哈密顿解存在的充分必要条件，并推导了其一般解的表示。
Hamiltonian matrices have many applications to design automation and autocontrol, in particular in the linear-quadratic autocontrol problem. This paper studies the inverse problems of generalized Hamiltonian matrices for matrix equations. By real representation of complex matrix, we give the necessary and sufficient conditions for the existence of a Hermitian generalized Hamiltonian solutions to the matrix equations, and then derive the representation of the general solutions.