关于多维移变离散系统的输入输出稳定性

本文的反例证明：论文「１」中关于多维移变离散系统的输入输出稳定性的定量不是多维移变离散系统稳定性的充分必要条件，本文提出了对该定理的两个修正：定理ｌａ与定理ｌｂ，如定理ｌａ和定理ｌｂ所指出的，对于一般多维多变离菜系统的输入输出稳定性。

On BIBO-Stability of Multidimensional (mD)Shift-Variant Discrete Systems

A counterexample is presented here to show that the theorem(Theorem 1)of BIBO stability for shift-varying discrete systems in paperis not a necessary and sufficient condition for the stability of mD shift-varying discrete systems.Two corrections have been made by Theorem la and Theorem lb presented by us.As pointed by Theorem la and Theorem lb,the condition of Theorem 1 is a sufficient condition for the stability of general mD shift-varying discrete systems,and is a necessary and sufficient condition for the stability of mD shift-varying discrete systems with positive shift-varying coefficients only.To solve the problem of Theorem 1 of ,for 2-D case we have proposed Theorem 2 which is a necessary and sufficient condition for the stability of 2-D shift varying discrete systems,and can be extended to mD.