A lattice approach to analysis and synthesis problems
A lattice approach to analysis and synthesis problems
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DOI：
10.1007/s00498-005-0159-2
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发表时间：
2006-05
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影响因子：
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通讯作者：
A. Quadrat
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文献类型：
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作者：
A. Quadrat
在格子方法下，给出了多输入多输出线性系统内部可镇定和(弱)左/右/双互质分解存在的一般充要条件。这些结果推广了最近在[24]中单输入单输出系统的结果。特别地，将这些结果与文[3，13]中的结果相结合，我们证明了每个内部可镇定的多维系统都有双重互质分解，从而解决了林氏猜想[17，18]。
Within a lattice approach, the purpose of this paper is to give general necessary and sufficient conditions for internal stabilizability and for the existence of (weakly) left-/right-/doubly coprime factorizations of multi input multi output linear systems. These results extend the ones recently obtained in [24] for single input single output systems. In particular, combining these results with the one obtained in [3, 13], we prove that every internally stabilizable multidimensional system admits doubly coprime factorizations, solving Lin's conjecture [17, 18].