摘要
研究变换Ｂａｎａｃｈ代数Ｗ上线性系统的实现理论，对给定的Ｗ上的严格真有理矩阵函数，利用其矩阵分式描述，构造了其可控形和可观测形的实现；进一步应用Ｇｅｌｆａｎｄ交换。
The realization theory of linear systems defined over a commutative Banach algebra W is studied. For the given strictly proper rational matrix function over W , using the matrix fraction description, the controllable and observable realizations have been constructed. And by appling Gelfand transform, it has been proved that all the minimal realizations are mutually equivalent.
出处
《陕西师大学报（自然科学版）》
CSCD
北大核心
1997年第4期1-5,共5页
Journal of Shaanxi Normal University(Natural Science Edition)
基金
国家自然科学基金
关键词
线性系统
交换巴拿赫代数
巴拿赫代数
commutative Banach aglebra
linear system
minimal realization
