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讨论了其分子分母不具有零互质性的二维传递函数的ＢＩＢＯ稳定性，在一定条件下得到了一种新的充要判据。该判据将ＢＩＢＯ稳定性的判别问题转化为比较两个多项式结式的公因子重数问题，从而使问题在一定程度上得到简化。算例分析表明：该判据在某些方面的确优于许多现有结果。
We discuss the BIBO stability of a two-dimensional transfer function whose numerator and denominator does not have zero-cross-validation. Under certain conditions, a new sufficient and necessary criterion is obtained. The criterion transforms the problem of BIBO stability judgment into a comparison of the common factor weight problems of two polynomial formulas, so that the problem is simplified to a certain extent. The case study shows that the criterion is indeed superior to many existing results in some aspects.