Structure of the class of linear functional time systems under output feedback transformation
作者:
TOSHIO SAITO,
期刊:
International Journal of Systems Science
(Taylor Available online 1987)
卷期:
Volume 18,
issue 6
页码: 1017-1027
ISSN:0020-7721
年代: 1987
DOI:10.1080/00207728708964029
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In this paper, we discuss from a qualitative and unified viewpoint the change of system behaviour produced by output feedback primarily to clarify mutual relationships between systems under feedback transformation. We first define the class of all linear functional time systems that are characterized by four system-theoretic properties. Next we define feedback as an operation on a class of systems and discuss the change of system behaviour produced by feedback as a system transformation eitherbetweentwo classes of system orwithinone class of system. Finally we clarify the structure of a class under feedback transformation in terms of system-theoretic concepts. We obtain three major results which provide a theoretical basis for systems science: (1) we specified the subclass of linear systems on which the feedback transformation can be well defined; (2) we characterize a relation between the system transformation under dynamic output feedback and that under static output feedback; (3) we show that the subclass consisting of all symmetric systems is closed under dynamic output feedback transformation.
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