广义2-D系统一般模型的可接受输入问题

On the Acceptable Input Sequences for Singular 2-D Linear Systems General Model

深入研究广义 2 D系统一般模型的可接受输入问题 .利用多项式矩阵的性质 ,证明了该模型的 2 D矩阵束行满秩的充要条件为一个分块矩阵行满秩 ,由此给出了广义 2 D系统一般模型接受任意一个给定矩形区域内的所有输入序列的新的判别条件 .该条件比现有文献中给出的判别条件易于判别 .

The acceptable input sequences of singular 2 D linear systems general model is discussed deeply. By using the properties of polynomial matrices, it is proven that the 2 D pencil for this model has full row rank if and only if a block matrix has full row rank, and a new criterion for the singular 2 D systems general model to accept all the input sequences on any rectangle domain is developed. The criterion is easier for testing than those in the previous literatures.