2-D常系数线性离散系统可分性判定
The Separatability of 2-D Linear Shift-Invariant Discrete Systems
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摘要: 针对二维常系数线性离散系统一般状态空间模型(2-DGM)的可分性判定问题进行 探讨,给出了系统可分的若干判定法则,这些法则有助于进一步完善2-D系统现有的理论体 系.Abstract: In this paper, the problem of testing the separability of 2-D linear shift-invariant discrete systems is discussed. On the basis of the existing results obtained by the authors, several new numerical and algebraic criteria are proposed in this paper. Here, the numerical criterion is both sufficient and necessary, while the algebraic criterion is only necessary. These results are beneficial for improving the theory of 2-D systems, and the improvements are, as far as we know, best in this field.
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Key words:
- 2-D systems /
- linear discrete systems /
- separability
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