Adjustable solutions of doubly coprime matrix fraction descriptions

Hung-Chou Chen, F. Chang
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引用次数: 1

Abstract

Using the concept of infinite eigenstructure assignment in generalized systems, explicit formulas for calculating the polynomial generalized Bezout identity is proposed. The degree of the polynomial matrix is directly related to the length of the longest infinite eigenvector chain of the associated generalized state-space representation. Hence the method of infinite eigenstructure assignment can be used to find adjustable-degree solutions of the doubly coprime matrix fraction descriptions.<>
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双素矩阵分数描述的可调解
利用广义系统无穷特征结构赋值的概念,给出了多项式广义Bezout恒等式的显式计算公式。多项式矩阵的阶数与相关广义状态空间表示的最长无限特征向量链的长度直接相关。因此,无限特征结构赋值方法可用于求双素数矩阵分数描述的可调度解。
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