Abstract: This paper studies the output weight of the weakly invertible quasi-（r，r）-order memory linear finite automata，then gives a fact that the r-output weight of any given states of the weakly invertible quasi-（r，r）-order memory linear finite automata is 1.For a n-ary quasi-（r，r）-order memory linea finite automata M，whether M is weakly invertible with delay r，a necessary and sufficient condition is obtained，that M can be decomposed into a weakly invertible finite automata M0 with delay 0 and a weakly invertible quasi-（0，r）-order memory linear finite automata M1 with delay r.

Key words: quasi-order memory linear finite automata, decomposition, weakly invertible, output weight

摘要： 通过对延迟r步弱可逆拟（r，r）阶存贮线性有限自动机输出权的研究，得出对延迟r步弱可逆拟（r，r）阶存贮线性有限自动机的任意一个状态，它的长r的输出权都是1;任何一个n元拟（r，r）阶存贮线性有限自动机M延迟r步弱可逆的充分必要条件是M都可以分解为一个延迟0步弱可逆有限自动机M0和一个延迟r步弱可逆拟（0，r）阶存贮线性有限自动机M1。

关键词: 拟存贮有限自动机, 分解, 弱可逆, 输出权