南京航空航天大学学报2000，Vol.32Issue(6)：672-676,5.
广义2一D系统Roess er模型的可接受输入序列研究
Acceptable Input Sequences for Singular Roesser Model of 2-D Linear Systems
摘要
Abstract
Two-dimensional (2-D) systems are utilized in various practical areas such as image processing, digital data filtering, etc. The singular Roesser model (SRM) is one of the most popular state-space models of 2-D linear discrete systems. The SRM may not have a solution for all input sequences. This paper focuses on the acceptable input sequences of the SRM. After transforming the SRM on a finite rectangle into an equivalent algebra equation, sufficient and necessary conditions for all input sequences on the finite rectangle being acceptable for the system are given. By taking 2-D Z-transform of the system and using the property of polynomial matrices, sufficient and necessary conditions for all input sequences on the infinite rectangle being acceptable are established. It is shown that all input sequences on some finite rectangle being acceptable for the SRM implies all input sequences on the infinite rectangle being acceptable when the input matrix of the system has full row rank. Based on elementary row operations on matrices, a method for determining the set of acceptable input sequence is proposed. An illustrative example is in cluded.关键词
状态空间/离散系统/控制问题/2-DRoesser模型/2-DZ-变换Key words
state-spaces/discrete systems/control problem/2-D Roesser model/2-D Ztransform分类
数理科学引用本文复制引用
赵胜民,陆昌根,刘则毅..广义2一D系统Roess er模型的可接受输入序列研究[J].南京航空航天大学学报,2000,32(6):672-676,5.基金项目
国家自然科学基金(编号：79500012)资助项目。 （编号：79500012）
