On minimal realization of 2-D systems
On minimal realization of 2-D systems
复制标题
二维系统的最小实现
DOI：
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发表时间：
1991
期刊：
影响因子：
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通讯作者：
K. Zhou
中科院分区：
文献类型：
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作者：
G. Gu;J. Aravena;K. Zhou
给出了一种获得给定二维传递函数的可能绝对最小实现的算法。它本质上是代数的，只需要一维实现理论和线性代数的基本知识。因此，该算法简单，易于编程。该算法保证了具有可分离分子的二维传递函数的绝对最小实现，也可适用于满足一定一致性条件的一般二维系统。通过算例说明了该算法的有效性。>；
An algorithm to obtain possibly absolutely minimal realizations of a given 2-D transfer function is developed. It is algebraic in nature and requires only 1-D realization theory and basic knowledge of linear algebra. Hence, the algorithm is simple and easy to program. The algorithm is guaranteed to yield absolutely minimal realizations for 2-D transfer functions having separable numerators and may also be applicable to general 2-D systems satisfying a certain consistency condition. An example is used to illustrate the effectiveness of the algorithm. >